PUBLICATIONS

Articles

   
1 H. Brezis; Fonctions convexes conjuguées relativement à une forme bilinéaire dégénérée, C. R. Acad. Sci. 264 (1967), p. 284-286. pdf file
2 H. Brezis and J.L. Lions; Sur certains problèmes unilatéraux hyperboliques, C. R. Acad. Sci. 264 (1967), p. 928-931. pdf file
3 H. Brezis; Equations et inéquations non linéaires dans les espaces vectoriels en dualité, Ann. Inst. Fourier 18 (1968), p. 115-175. pdf file
3CR H. Brezis; Une généralisation des opérateurs monotones, C. R. Acad. Sci. 264 (1967), p. 683-686, and Inéquations d'évolution abstraites, C. R. Acad. Sci. 264 (1967), p. 732-735. pdf file
4 H. Brezis; Inéquations variationnelles associées à des opérateurs d'évolution, in Theory and applications of monotone operators, Proc. NATO Institute, Venice, 1968, p. 249-258. pdf file
5 H. Brezis and M. Sibony; Méthodes d'approximation et d'itération pour les opérateurs monotones, Arch. Rat. Mech. Anal. 28 (1968), p. 59-82. pdf file
6 H. Brezis and G. Stampacchia; Sur la régularité de la solution d'inéquations elliptiques, Bull. Soc. Math. Fr. 96 (1968), p. 153-180. pdf file
7 C. Bardos and H. Brezis; Sur une classe de problèmes d'évolution non linéaires, J. Diff. Equ. 6 (1969), p. 345-394. pdf file
7CR C. Bardos and H. Brezis; Sur une classe de problèmes d'évolution non linéaires, C. R. Acad. Sci. 266 (1968), p. 56-59. pdf file
8 H. Brezis; On some degenerate nonlinear parabolic equations, in Nonlinear Functional Analysis, Chicago, 1968, Proc. Symp. Pure Math. 18 (Part 1), Amer. Math. Soc., 1970, p. 28-38. pdf file
9 H. Brezis; On a Characterization of Flow-Invariant Sets, Comm. Pure Appl. Math. 23 (1970), p. 261-263. pdf file
10 H. Brezis; Semi groupes non linéaires et applications, in Symposium on evolution problems, Roma, 1970, Istituto Nazionale di Alta Matematica, Symposia Mathematica VII, Acad. Press, 1971, p. 1-27. pdf file
11 H. Brezis, M. Crandall and A. Pazy; Perturbations of nonlinear maximal monotone sets, Comm. Pure Appl. Math. 23 (1970), p. 123-144. pdf file
12 H. Brezis and A. Pazy; Semi groups of nonlinear contractions on convex sets, J. Funct. Anal. 6 (1970), p. 237-281. pdf file
13 H. Brezis and A. Pazy; Accretive sets and differential equations in Banach spaces, Israel J. Math. 8 (1970), p. 367-383. pdf file
14 H. Brezis; On a problem of T. Kato, Comm. Pure Appl. Math. 23 (1971), p. 1-6. pdf file
15 H. Brezis; Propriétés régularisantes de certains semi- groupes non linéaires, Israel J. Math. 9 (1971), p. 512-534. pdf file
15L H. Brezis; Propriétés régularisantes de certains semigroupes et applications, in Problems in Nonlinear Analysis, CIME, Varenna, 1970, (G. Prodi ed.), Springer, 2010, p. 1-15. pdf file
16 H. Brezis; Monotonicity methods in Hilbert spaces and some applications to nonlinear partial differential equations, in Contributions to Nonlinear Funct. Analysis, Madison, 1971, (E. Zarantonello ed.), Acad. Press, 1971, p. 101-156. pdf file
17 H. Brezis; Opérateurs maximaux monotones et semi-groupes de contractions dans les espaces de Hilbert, North-Holland, 1973, 183 p. pdf file
18 H. Brezis; Seuil de régularité pour certains problèmes unilatéraux, C. R. Acad. Sci. 273 (1971), p. 35-37. pdf file
18L H. Brezis; Nouveaux théorèmes de régularité pour les problèmes unilatéraux, in Rencontre entre physiciens théoriciens et mathématiciens, Vol. 12, Strasbourg, 1971, 14 p. pdf file
19 H. Brezis, W. Rosenkrantz and B. Singer; On a degenerate elliptic parabolic equation occuring in the theory of probability, Comm. Pure Appl. Math. 24 (1971), p. 395-416. pdf file
20 H. Brezis, W. Rosenkrantz and B. Singer; An extension of Khintchine's estimate for large deviations to a class of Markov chains converging to a singular diffusion, Bull. Amer. Math. Soc. 77 (1971), p. 980-982, and Comm. Pure Appl. Math. 24 (1971), p. 705-726. pdf file
21 H. Brezis and M. Sibony; Equivalence de deux inéquations variationnelles et applications, Arch. Rat. Mech. Anal. 41 (1971), p. 254-265. pdf file
22 H. Brezis; Non linear perturbations of monotone operators, Report of the University of Kansas, Lawrence (1972). pdf file
22CR H. Brezis; Perturbations non linéaires d'opérateurs maximaux monotones, C. R. Acad. Sci. 269 (1969), p. 566-569. pdf file
23 H. Brezis; Inéquations variationnelles relatives à l'opérateur de Navier-Stokes, J. Math. Anal. Appl. 39 (1972), p. 159-165. pdf file
24 H. Brezis; Problèmes unilatéraux, J. Math. Pures Appl. 51 (1972), p. 1-168. pdf file
24L H. Brezis; Inéquations variationnelles paraboliques, in Séminaire Leray, Collège de France, 1971-72, 10 p. pdf file
25 H. Brezis; Un problème d'évolution avec contraintes unilatérales dépendant du temps, C. R. Acad. Sci. 274 (1974), p. 310-312. pdf file
26 H. Brezis; Multiplicateur de Lagrange en torsion élasto-plastique, Arch. Rat. Mech. Anal. 49 (1972), p. 32-40. pdf file
27 H. Brezis; Equations d'évolution du second ordre associées à des opérateurs monotones, Israel J. Math. 12 (1972), p. 51-60. pdf file
28 H. Brezis; Intégrales convexes dans les espaces de Sobolev, Israel J. Math. 13 (1972), p. 9-23. pdf file
29 Ph. Bénilan and H. Brezis; Solutions faibles d'équations d'évolution dans les espaces de Hilbert, Ann. Inst. Fourier 22 (1972), p. 312-329. pdf file
30 H. Brezis, L. Nirenberg and G. Stampacchia; A remark on Ky Fan's minimax principle, Boll U.M.I. 6 (1972) p. 293-300; reprinted Boll U.M.I (9)I (2008), p. 257-264. pdf file
31 H. Brezis and A. Pazy; Convergence and approximation of nonlinear semi-groups in Banach spaces, J. Funct. Anal. 9 (1972), p. 63-74. pdf file
32 H. Brezis and G. Stampacchia; Une nouvelle méthode pour l'étude d'écoulements stationnaires, C.R. Acad. Sci. 276 (1973), p. 129-132. pdf file
32L1 H. Brezis; Problèmes elliptiques avec frontière libre, in Séminaire Goulaouic-Schwartz, 1972-73, 9 p. pdf file
32L2 H. Brezis; Etude d'écoulements stationnaires à l'aide des inéquations variationnelles, in Séminaire Leray, Collège de France, 1972-73, 10 p. pdf file
32L3 H. Brezis; A new method in the study of subsonic flows, in Partial differential equations and related topics, Tulane U., New Orleans, 1974, (J. Goldstein ed.), Lecture Notes in Math. 446, Springer, 1975, p. 50-64. pdf file
33 C. Bardos, D. Brezis and H. Brezis; Perturbations singulières et prolongements maximaux d'opérateurs positifs, Arch. Rat. Mech. Anal. 53 (1973), p. 69-100. pdf file
33L H. Brezis; Singular perturbations of hyperbolic systems, in Functional Analysis and Applications, Symposium Univ. Pernambuco, Recife, Brazil, 1972, (L. Nachbin ed.), Lecture Notes in Math. 384, Springer, 1974, p. 168-176. pdf file
34 J.P. Bourguignon and H. Brezis; Remarks on the Euler equations, J. Funct. Anal. 15 (1974), p. 341-363. pdf file
35 H. Brezis and W. Strauss; Semilinear second order elliptic equations in L1, J. Math. Soc. Japan 25 (1974), p. 831-844. pdf file
36 H. Brezis and D. Kinderlehrer; The smoothness of solutions to nonlinear variational inequalities, Indiana Univ. Math. J. 23 (1974), p. 831-844. pdf file
36CR H. Brezis and D. Kinderlehrer; Inéquations variationnelles associées à des opérateurs elliptiques non linéaires, C. R. Acad. Sci. 277 (1973), p. 209-210. pdf file
37 H. Brezis and F. Browder; Some new results about Hammerstein equations, Bull. Amer. Math. Soc. 80 (1974), p. 567-572. pdf file
38 H. Brezis and F. Browder; Equations intégrales non linéaires du type Hammerstein, C. R. Acad. Sci. 279 (1974), p. 1-2. pdf file
39 H. Brezis; Solutions with compact support of variational inequalities, dedicated to the memory of I. G. Petrovski, Uspekhi Mat. Nauk 29 (1974), p. 103-108. pdf file
39L H. Brezis; Solutions à support compact d'inéquations variationnelles, in Séminaire Leray, Collège de France, 1973-4, 6p. pdf file
40 H. Brezis and G. Duvaut; Ecoulements avec sillages autour d'un profil symétrique sans incidence, C. R. Acad. Sci. 276 (1973), p. 875-878. pdf file
41 H. Brezis; Monotone operators, non linear semigroups and applications, in Proc. International Congress of Mathematicians, Vol.2, Vancouver, 1974, Canadian Math. Congress, 1975, p. 249-255. pdf file
42 H. Brezis and A. Friedman; Estimates on the support of solutions of parabolic variational inequalities, Ill. J. Math. 20 (1976), p. 82-97. pdf file
43 H. Brezis; Interpolation classes for monotone operator, in Partial differential equations and related topics, Tulane U., New Orleans, 1974, (J. Goldstein ed.), Lecture Notes in Math. 446, Springer, 1975, p. 65-74. pdf file
43L H. Brezis; Classes d'interpolation associées à un opérateur monotone et applications, in Nonlinear Evolution Equations and Potential Theory, Proc. Summer School held at Podhradi (Czechoslovakia) in Sept. 1973, (Kral ed.), Academia, Prague, 1975, p. 61-72. pdf file
44A H. Brezis and F. Browder; Existence theorems for nonlinear integral equations of Hammerstein type, Bull. Amer. Math. Soc. 81 (1975), p. 73-78. pdf file
44B H. Brezis and F. Browder; Maximal monotone operators in non reflexive Banach spaces and nonlinear integral equations of Hammerstein type, Bull. Amer. Soc. 81(1975), p. 82-88. pdf file
44C H. Brezis and F. Browder; Nonlinear integral equations and systems of Hammerstein type, Advances in Math., 18 (1975), p. 115-147. pdf file
45 H. Brezis; New results concerning monotone operators and nonlinear semigroups, in Proc. Symp. on Analysis of Nonlinear problems, RIMS, Kyoto, 1974, Sûrikaisekikenkyûsho Kókyûroku No. 258, 1975, p. 2-27. pdf file
46 Ph. Bénilan, H. Brezis and M. Crandall; A semilinear elliptic equation in L1(ℝN), Ann. Scuola Norm. Sup. Pisa, Série IV, 2 (1975), p. 523-555. pdf file
47 H. Brezis and G. Stampacchia; The hodograph method in fluid dynamics in the light of variational inequalities, Arch. Rat. Mech. Anal. 61 (1976), p. 1-18. pdf file
48 J. B. Baillon and H. Brezis; Une remarque sur le comportement asymptotique des semi-groupes non linéaires, Houston J. Math. 2 (1976), p. 5-7. pdf file
49 H. Brezis and A. Haraux; Image d'une somme d'opérateurs monotones et applications, Israel J. Math. 23 (1976), p. 165-186. pdf file
50 H. Brezis and J.A. Goldstein; Liouville theorems for some improperly posed problems, in Improperly posed boundary value problems, (A. Carasso and A.P. Stone eds.), Pitman, 1975, p. 65-75. pdf file
51 H. Brezis and F. Browder; Linear maximal monotone operators and singular nonlinear integral equations of Hammerstein type, in Nonlinear Analysis, Volume in honor of E. H. Rothe, (L. Cesari, R. Kannan and H. Weinberger eds.), Acad. Press, 1978, p. 31-42. pdf file
52 H. Brezis and I. Ekeland; Un principe variationnel associé à certaines équations paraboliques, C.R. Acad. Sc. 282 (1976), p. 971-974 and p. 1197-1198. pdf file
53 H. Brezis and F. Browder; Singular Hammerstein Equations and Maximal Monotone Operators, Bull. Amer. Math. Soc. 82 (1976), p. 623-625. pdf file
54 H. Brezis and F. Browder; A general Principle on Ordered Sets in Nonlinear Functional Analysis, Advances in Math. 21 (1976), p. 355-364. pdf file
55 H. Brezis and F. Browder; Nonlinear Ergodic Theorems, Bull. Amer. Math. Soc. 82 (1976), p. 959-961. pdf file
56 H. Berestycki and H. Brezis; Sur certains problèmes de frontière libre, C. R. Acad. Sc. 283 (1976), p. 1091-1095. pdf file
57 H. Brezis; Quelques propriétés des opérateurs monotones et des semi-groupes non linéaires, in Nonlinear Operators and the Calculus of Variations, Brussels, 1975, (J. P. Gossez, E. Lami Dozo, J. Mawhin and L. Waelbroeck eds.), Lecture Notes in Math. 543, Springer, 1976, p. 56-82. pdf file
58 H. Brezis and G. Stampacchia; Remarks on some fourth order variational inequalities, Ann. Sc. Norm. Sup. Pisa 4, (1977), p. 363-371. pdf file
59 A. Bensoussan, H. Brezis and A. Friedman; Estimates on the free boundary for quasi variational inequalities, Comm. in PDE 2 (1977), p. 297-321. pdf file
60 H. Brezis and L. E. Fraenkel; A function with prescribed initial derivatives in different Banach spaces, J. Funct. Anal. 29 (1978), p. 328-335. pdf file
61 H. Brezis and F. Browder; Remarks on nonlinear ergodic theory, Adv. in Math. 25 (1977), p. 165-177. pdf file
62 H. Brezis and R. Turner; On a class of superlinear elliptic problems, Comm. in PDE 2 (1977), p. 601-614. pdf file
63 H. Brezis and L. Nirenberg; Characterizations of the ranges of some nonlinear operators and applications to boundary value problems, Ann. Sc. Norm. Pisa 5 (1978), p. 225-326. pdf file
63CR H. Brezis and L. Nirenberg; Image d'une somme d'opérateurs non linéaires et applications, C. R. Acad. Sc. 284 (1977), p. 1365-1368. pdf file
63L1 H. Brezis; Nonlinear equations at resonance, in Workshop on existence theory in nonlinear elasticity, Austin, Texas (1977). pdf file
63L2 H. Brezis; Vibrations forcées et image d'une somme d'opérateurs non linéaires, in Journées Fermat, Nonlinear problems of analysis in geometry and mechanics, Toulouse, 1979, Pitman, 1981, p. 3-12. pdf file
64 H. Brezis and L. Nirenberg; Some first-order nonlinear equations on a torus, Comm. Pure Appl. Math. 30 (1977), p. 1-11. pdf file
64L H. Brezis; First order quasilinear equations on a torus, in Hyperbolicity, CIME, Cortona, 1976, (G. Da Prato and G. Geymonat eds), Springer, 2011, p. 7-13. pdf file
65 H. Brezis and P.L. Lions; Produits infinis de résolvantes, Israel J. Math. 29 (1978), p. 329-345. pdf file
66 H. Brezis and L. Nirenberg; Forced vibrations for a nonlinear wave equation, Comm. Pure Appl. Math. 31 (1978), p. 1-30. pdf file
67 H. Brezis and L. Evans; A variational inequality approach to the Bellman-Dirichlet equation for two elliptic operators, Arch. Rat. Mech. Anal. 71 (1979), p. 1-13. pdf file
67L1 H. Brezis; The Hamilton-Jacobi-Bellman equations and variational inequalities, in Recent methods in nonlinear analysis, Rome, 1978, (E. De Giorgi, E. Magenes and U. Mosco eds.), Pitagora, 1979, p. 385-395. pdf file
67L2 H. Brezis; The Hamilton-Jacobi-Bellman equation for two operators via variational inequalities, in Contemporary Developments in Continuum Mechanics and PDE, Rio de Janeiro, 1977, (G. de la Penha and L.A. Medeiros eds.), North-Holland, 1978, p. 74-80. pdf file
68 H. Brezis and F. Browder; Strongly nonlinear elliptic boundary value problems, Ann. Sc. Norm. Sup. Pisa 5 (1978), p. 587-603. pdf file
69 H. Brezis; Asymptotic behavior of some evolution systems, in Nonlinear evolution equations, Madison, 1977, (M. Crandall ed.), Acad. Press, 1978, p. 141-154. pdf file
70 H. Brezis and T. Kato; Remarks on the Schrödinger operator with singular complex potentials, J. Math. Pures Appl. 58 (1979), p. 137-151. pdf file
70L1 H. Brezis; Quelques propriétés de l'opérateur de Schrödinger - Δ + V, in Séminaire Goulaouic - Schwartz, 1977-78, 10p. pdf file
70L2 H. Brezis; On the Schrödinger operator with singular complex potentials, IV ELAM Symposium, Lima, 1978, p. 21-30. pdf file
71 H. Brezis; Some variational problems of the Thomas Fermi type, in Variational inequalities and complementarity problems: theory and applications, Erice, 1978, (R.W.Cottle, F.Giannessi and J.L. Lions eds.), Wiley, 1980, p. 53-73. pdf file
71L1 H. Brezis; Nonlinear problems related to the Thomas-Fermi equation, in Contemporary Developments in Continuum Mechanics and PDE, Rio de Janeiro, 1977, (de la Penha and Medeiros ed.), North-Holland, 1978, p. 81-89. pdf file
71L2 H. Brezis; Equations non linéaires du type Thomas-Fermi, in Rencontres Mathématiciens-Physiciens Théoriciens, Strasbourg, 1978. pdf file
71L3 H. Brezis; A free boundary problem in quantum mechanics : Thomas-Fermi equation, in Free Boundary Problems, Pavia, 1979, INDAM, Rome, 1980, p. 85-91. pdf file
71L4 H. Brezis; Nonlinear equations of the Thomas-Fermi type, in Symp. Nonlinear Funct. Anal. RIMS, Kyoto, Oct. 1980. pdf file
72 H. Brezis and F. Browder; A property of Sobolev spaces, Comm. in PDE 4 (1979), p. 1077-1083. pdf file
72CR H. Brezis and F. Browder; Sur une propriété des espaces de Sobolev, C. R. Acad. Sc. 287 (1978), p. 113-115. pdf file
73 H. Brezis, D. Kinderlehrer and G. Stampacchia; Sur une nouvelle formulation du problème de l'écoulement à travers une digue, C. R. Acad. Sc. 287 (1978), p. 711-714. pdf file
74 H. Brezis and E. Lieb; Long range potentials in Thomas-Fermi theory, Comm. Math. Phys. 65 (1979), p. 231-246. pdf file
75 H. Brezis and M. Crandall; Uniqueness of solutions of the initial value problem for ut - Δ φ (u) = 0, J. Math. Pures Appl. 58 (1979), p. 153-163. pdf file
76 S. Antman and H. Brezis; The existence of orientation-preserving deformations in Nonlinear elasticity, in Nonlinear Analysis and Mechanics, Heriot-Watt Symposium vol. 2, (Knops ed.) Pitman, 1978, p. 1-29. pdf file
77 H. Berestycki and H. Brezis; On a free boundary problem arising in plasma physics, Nonlinear Analysis 4 (1980), p. 415-436. pdf file
78 A. Berger, H. Brezis and J. Rogers; A numerical method for solving the problem ut - Δ f (u) = 0, RAIRO Anal. Num. 13 (1979), p. 297-312. pdf file
79 H. Brezis, L. Caffarelli and A. Friedman; Reinforcement problems for elliptic equations and variational inequalities, Ann. Mat. Pura et Appl. 123 (1980), p. 219-246. pdf file
80 H. Brezis and F. Browder; Strongly nonlinear parabolic initial value problems, Proc. Nat. Acad. Sc. USA 76 (1979), p. 38-40. pdf file
81 H. Brezis; Localized self adjointness of Schrödinger operators, J. Operator Theory 1 (1979), p. 287-290. pdf file
82 A. Bahri and H. Brezis; Periodic solutions of a nonlinear wave equation, Proc. Roy. Soc. Edinburgh 85 (1980), p. 313-320. pdf file
82L1 H. Brezis; Cordes vibrantes non linéaires, in Séminaire Goulaouic-Schwartz, 1978-79, 8p. pdf file
82L2 A. Bahri and H. Brezis; Nonlinear vibrating strings and the range of the sum of nonlinear operators, IV ELAM Symposium, Lima, 1978, p. 31-40. pdf file
82L3 H. Brezis; Vibrations forcées non linéaires, in Nonlinear Partial Differential Equations and Their Applications ; Collège de France Sem., Vol. I, (H. Brezis and J. L. Lions eds.), Pitman (1981), p. 76-88. pdf file
83 H. Brezis and L. Véron; Removable singularities of some nonlinear elliptic equations, Arch. Rat. Mech. Anal. 75 (1980), p. 1-6. pdf file
84 H. Brezis and T. Gallouët; Nonlinear Schrödinger evolution equations, Nonlinear Analysis 4 (1980), p. 677-681. pdf file
84L1 H. Brezis; Nonlinear evolution equations of Schrödinger type, in Bifurcation Phenomena in Mathematical Physics and Related Topics, Cargèse, 1979, (C. Bardos and D. Bessis eds.), Reidel, 1980, p. 513-520. pdf file
84L2 H. Brezis; Laser beams and limiting cases of Sobolev inequality, in Nonlinear Partial Differential Equations and Their Applications ; Collège de France Sem., Vol. II, (H. Brezis and J.L.Lions eds.), Pitman, 1982, p. 86-970. pdf file
85 H. Brezis and P.L. Lions; Boundary regularity of some nonlinear elliptic degenerate equations, Comm. Math. Phys. 70 (1979), p. 181-185. pdf file
86 H. Brezis and P.L. Lions; An estimate related to the strong maximum principle, Boll. U.M.I. 17 (1980), p. 503-508. pdf file
87 H. Brezis and S. Wainger; A note on limiting cases of Sobolev embeddings and convolution inequalities, Comm. in PDE 5 (1980), p. 773-789. pdf file
88 H. Brezis and P.L. Lions; A note on isolated singularities for linear elliptic equations, in Mathematical Analysis and Applications, dedicated to L. Schwartz, (L. Nachbin ed.), Acad. Press, 1981, Part A, p. 263-266. pdf file
89 H. Brezis and F. Browder; Strongly nonlinear parabolic variational inequalities, Proc. Nat. Acad. Sc. USA 77 (1980), p. 713-715. pdf file
90 H. Brezis, J.M. Coron and L. Nirenberg; Free vibrations for a nonlinear wave equation and a theorem of P. Rabinowitz, Comm. Pure Appl. Math. 33 (1980), p. 667-684. pdf file
91 H. Brezis and J.M. Coron; Periodic solutions of nonlinear wave equations and Hamiltonian systems, Amer. J. Math. 103 (1981), p. 559-570. pdf file
92 R. Benguria, H. Brezis and E. Lieb; The Thomas-Fermi-von Weizsäcker theory of atoms and molecules, Comm. Math. Phys. 79 (1981), p. 167-180. pdf file
93 H. Brezis and F. Browder; Some properties of higher order Sobolev spaces, J. Math. Pures et Appl. 61 (1982), p. 245-259. pdf file
94 H. Brezis; Periodic solutions of nonlinear vibrating strings and duality principles, in The Mathematical Heritage of H. Poincaré, (F. Browder ed.), Proc. Symp. Pure Math. 39 Part 2, Amer. Math. Soc., 1983, and Bull. Amer. Math. Soc. 8 (1983), p. 409-426. pdf file
94L H. Brezis; Periodic solutions of nonlinear vibrating strings, in Dynamical Systems II, Vol. 1, Univ. of Florida, Gainesville, 1981, (A.R. Bednarek and L. Cesari eds.), Acad. Press, 1982, p. 11-30. pdf file
95 H. Brezis; Remarque sur l'article précédent de F. Murat, J. Math. Pures Appl. 60 (1981), p. 321-322. pdf file
96 H. Brezis and A. Friedman; Nonlinear parabolic equations involving measures as initial conditions, J. Math. Pures Appl. 62 (1983), p. 73-97. pdf file
97 H. Brezis; The dam problem revisited, in Free Boundary Problems, Proc. Symp. Montecatini Terme, (A. Fasano and M. Primicerio eds.), Pitman, 1983, p. 77-87. pdf file
98 H. Brezis and L. Nirenberg; Positive solutions of nonlinear elliptic equations involving critical Sobolev exponents, Comm. Pure Appl. Math. 36 (1983), p. 437-477. pdf file
98L1 H. Brezis; Positive solutions of nonlinear elliptic equations in the case of critical Sobolev exponent, in Nonlinear Partial Differential Equations and Their Applications, Collège de France Sem., Vol. III, (H. Brezis and J.L. Lions eds.), Pitman, 1982, p. 129-146. pdf file
98L2 H. Brezis; Best Sobolev constants and nonlinear elliptic equation, in Proc. 2nd Franco-SEAMS Conference, Manilla, 1982, Southeast Asian Bull. Math. 7 (1983), p. 61-67. pdf file
99 H. Brezis and E. Lieb; A relation between pointwise convergence of functions and convergence of functionals, Proc. Amer. Math. Soc. 88 (1983), p. 486-490. pdf file
100 H. Brezis and J.M. Coron; Multiple solutions of H-systems and Rellich's conjecture, Comm. Pure Appl. Math. 37 (1984), p. 149-187. pdf file
100CR H. Brezis and J.M. Coron; Sur la conjecture de Rellich pour les surfaces à courbure moyenne prescrite, C. R. Acad. Sci. 295 (1982), p. 615-618. pdf file
100L1 H. Brezis; Solutions positives d'équations elliptiques non linéaires avec exposant de Sobolev critique et conjecture de Rellich pour les surfaces à courbure moyenne prescrite, in Séminaire Goulaouic - Meyer - Schwartz, 1982-83, 9p. pdf file
100L2 H. Brezis; Variational problems involving lack of compactness and Rellich's conjecture, in Proc. Int. Conf. on Diff. Eq., Birmingham, Ala., 1983, (I. Knowles and R. Lewis eds.), North-Holland, 1984, p. 53-59. pdf file
101 H. Brezis; Problèmes elliptiques et paraboliques non linéaires avec données mesures, in Séminaire Goulaouic-Meyer-Schwartz, 1981-82, 13p. pdf file
101L H. Brezis; Nonlinear elliptic equations involving measures, in Contributions to nonlinear PDE, Madrid, 1981, (C. Bardos et al. eds.), Pitman, 1983, p. 82-89. pdf file
102 H. Brezis and J.M. Coron; Large solutions for harmonic maps in two dimensions, Comm. Math. Phys. 92 (1983), p. 203-215. pdf file
102L1 H. Brezis; Large harmonic maps in two dimensions, in Proc. Symp. on Nonlinear Variational Problems, Isola d'Elba, 1983, (A. Marino et al. eds.), Pitman, 1985, p. 33-46. . pdf file
102L2 H. Brezis; Metastable harmonic maps, in Metastability and incompletely posed problems, Minneapolis, 1984, (S. Antman et al. eds.), Springer, 1987, p. 33-42. pdf file
103 H. Brezis; Semilinear equations in ℝN without conditions at infinity, Applied Math. and Optimization, 12 (1984), p. 271-282. pdf file
104 H. Brezis and E. Lieb; Minimum action solutions of some vector field equations, Comm. Math. Phys. 96 (1984), p. 97-113. pdf file
105 H. Brezis and J.M. Coron; Convergence of solutions of H-systems or how to blow bubbles, Arch. Rat. Mech. Anal. 89 (1985), p. 21-56. pdf file
105CR H. Brezis and J.M. Coron; Convergence desolutions de H-systèmes et applications aux surfaces à courbure moyenne constante, C. R. Acad. Sci. 298 (1984), p. 389-392. pdf file
105L H. Brezis; Problèmes de convergence dans certaines EDP non linéaires et applications géométriques, in Séminaire Goulaouic-Meyer-Schwartz, 1983-84, 11p. pdf file
106 H. Attouch and H. Brezis; Duality for the sum of convex functions in general Banach spaces, in Aspects of Math. and its Applications, dedicated to L. Nachbin, (J.A. Barroso ed.), North-Holland, 1986, p. 125-133. pdf file
107 H. Brezis, L. Peletier and D. Terman; A very singular solution of the heat equation with absorption, Arch. Rat. Mech. Anal. 95 (1986), p. 185-209. pdf file
108 H. Brezis; Some variational problems with lack of compactness in Nonlinear Functional Analysis and its Applications, Berkeley, 1983, Proc. Symp. Pure Math. 45, (F. Browder ed.), Amer. Math. Soc., 1986, p. 165-201. pdf file
109 H. Brezis and E. Lieb; Sobolev inequalities with remainder terms, J. Funct. Anal. 62 (1985), p. 73-86. pdf file
110 H. Brezis and L. Oswald; Remarks on sublinear elliptic equations, Nonlinear Analysis 10 (1986), p. 55-64. pdf file
111 H. Brezis and L. Oswald; Singular solutions for some semilinear elliptic equations, Arch. Rat. Mech. Anal. 99 (1987), p. 249-259. pdf file
112 H. Brezis, J.M. Coron and E. Lieb ; Harmonic maps with defects, Comm. Math. Phys. 107 (1986), p. 649-705. pdf file
112CR H. Brezis, J.M. Coron and E. Lieb; Estimations d'énergie pour des applications de ℝ3 dans S2, C. R. Acad. Sci. 303 (1986), p. 207-210. pdf file
112L1 H. Brezis; Liquid crystals and energy estimates for S2-valued maps, in Theory and Applications of Liquid Crystals, Minneapolis, 1985, (J. Ericksen and D. Kinderlehrer eds.), Springer, 1987, p. 31-52. pdf file
112L2 H. Brezis; Liquid crystals and S2-valued maps, in Contributions to nonlinear partial differential equations, Vol. II, Paris, 1985, (I. Diaz and P.L. Lions eds.), Longman, 1987, p. 47-54. pdf file
113 H. Brezis; Elliptic equations with limiting Sobolev exponents - the impact of Topology, Proceedings of the Conference celebrating the 50th anniversary of the Courant Institute, Comm. Pure Appl. Math. 39 (1986), p. S17-S39. pdf file
113L1 H. Brezis; Nonlinear elliptic equations involving the critical Sobolev exponent-survey and perspectives, in Directions in Partial Differential Equations , Madison, 1985, (M. Crandall, P. Rabinowitz and R. Turner eds.), Acad. Press, 1987, p. 17-36. pdf file
113L2 H. Brezis; Points critiques dans les problèmes variationnels sans compacité, in Séminaire Bourbaki 1987-88, exposé no. 698, Astérisque 161-162 (1988), p. 239-256. (Russian translation, MIR, 1990). pdf file
114 H. Brezis and L. Oswald; A maximization problem involving critical Sobolev exponents, Mat. Apl. Comp. 6 (1987), p. 47-56. pdf file
115 A. Bahri and H. Brezis; Equations elliptiques non linéaires sur des variétés avec exposant de Sobolev critique, C. R. Acad. Sc. 307 (1988), p. 573-576. pdf file
116 H. Brezis and S. Kichenassamy; Energy estimates for surface valued maps with prescribed singularities, in Nonlinear Variational Problems II, Isola d'Elba, 1986, (A. Marino and V. Murthy eds.), Pitman Research Notes 193, Longman, 1989, p. 92-98. pdf file
117 H. Brezis and L.A. Peletier; Asymptotics for elliptic equations involving critical growth, in Partial Differential Equations and the Calculus of Variations: Essays in Honor of Ennio De Giorgi (F. Colombini, A. Marino, L. Modica and S. Spagnolo eds.), Birkhäuser, 1989, p. 149-192. pdf file
118 F. Atkinson, H. Brezis and L. A. Peletier; Nodal solutions of elliptic equations with critical Sobolev exponents, J. Diff. Eq. 85 (1990), p. 151-170. pdf file
118CR F. Atkinson, H. Brezis and L. A. Peletier; Solutions qui changent de signe d'équations elliptiques avec exposant de Sobolev critique, C. R. Acad. Sci. 306 (1988), p. 711-714. pdf file
119 H. Brezis; Sk-valued maps with singularities, in Topics in the Calculus of Variations, Montecatini Terme, 1987, (M. Giaquinta ed.), Lecture Notes in Math. 1365, Springer, 1989, p. 1-30. pdf file
120 H. Brezis, F. Bethuel and J.M. Coron; Relaxed energies for harmonic maps, in Variational Problems, Paris, 1988, (H. Berestycki, J.M. Coron and I. Ekeland, eds.), Birkhäuser, 1990, p. 37-52. pdf file
120L1 H. Brezis; Relaxed energies for harmonic maps and liquid crystals, in Proc. Conf. in memory of Cacciopoli, Naples, 1989, Ricerche Mat. 40 (1991), suppl., p. 163-173. pdf file
120L2 H. Brezis; New energies for harmonic maps and liquid crystals, in Functional Analysis and Related Topics, Conf. in memory of K. Yosida, Kyoto, 1991, (H. Komatsu ed.), Lecture Notes in Math. 1540, Springer, 1993, p. 11-24. pdf file
121 H. Brezis and L. Nirenberg; A minimization problem with critical exponent and nonzero data, in Symmetry in Nature (a volume in honor of L. Radicati), Scuola Normale Superiore Pisa, 1989, Volume I, p. 129-140. pdf file
121L1 H. Brezis; On some variational problem with limiting Sobolev exponent, in Progress in variational methods in Hamiltonian systems and elliptic equations, L'Aquila, 1990, (M. Matzeu and F. Pacella eds.), Longman, 1992, p. 42-51. pdf file
122 F. Bethuel and H. Brezis; Minimisation de ∫|∇(u - x/|x|)|2 et divers phénomènes de gap, C. R. Acad. Sc. 310 (1990), p. 859-864. pdf file
123 H. Brezis and L. Nirenberg; Remarks on finding critical points, Comm. Pure Appl. Math. 44 (1991), p. 939-963. pdf file
124 F. Bethuel, H. Brezis, J.M. Coron and F. Hélein; Problèmes mathématiques des cristaux liquides, in Le Courrier du CNRS, Images des Mathématiques (1990), p. 16-21. pdf file
125 H. Brezis; Mathematical problems of liquid crystals. A lecture presented at the 92th Summer Meeting of the AMS, held at the University of Colorado, Boulder, August 7-10, 1989, AMS Progress in Mathematics Lecture Series. American Mathematical Society, Providence, RI, 1990. 1 videocassette (60 min.). pdf file
126 F. Bethuel and H. Brezis; Regularity of minimizers of relaxed problems for harmonic maps, J. Funct. Anal. 101 (1991), p. 145-161. pdf file
126CR F. Bethuel and H. Brezis; Régularité des minima de problèmes relaxés pour les applications harmoniques, C. R. Acad. Sc. 310 (1990), p. 827-829. pdf file
127 H. Brezis and F. Merle; Uniform estimates and blow-up behavior for solutions of - Δ u = V(x)eu in two dimensions, Comm. PDE 16 (1991), p. 1223-1253. pdf file
128 H. Brezis and S. Kamin; Sublinear elliptic equations in ℝn, Manuscripta Math. 74 (1992), p. 87-106. pdf file
129 F. Bethuel, H. Brezis, B. Coleman and F. Hélein; Bifurcation analysis for minimizing harmonic maps describing the equilibrium of nematic phases between cylinders, Arch. Rat. Mech. Anal. 118 (1992), p. 149-168. pdf file
130 H. Brezis ; Uniform estimates for solutions of - Δ u = V(x)up, in Partial Differential Equations and related subjects, Trento, 1990, (M. Miranda, ed.), Longman, 1992, p. 38-52. pdf file
131 F. Bethuel, H. Brezis and F. Hélein; Limite singulière pour la minimisation de fonctionnelles du type Ginzburg-Landau, C. R. Acad. Sc. Paris 314 (1992), p. 891-895. pdf file
132 H. Brezis, N. Fusco and C. Sbordone; Integrability for the Jacobian of orientation preserving mappings, J. Funct. Anal. 115 (1993), p. 425-431. pdf file
133 H. Brezis, Y. Li and I. Shafrir; A sup + inf inequality for some nonlinear elliptic equations involving exponential nonlinearities, J. Funct. Anal. 115 (1993), p. 344-358. pdf file
134 F. Bethuel, H. Brezis and F. Hélein; Asymptotics for the minimization of a Ginzburg-Landau functional, Calc. Var. PDE 1 (1993), p. 123-148. pdf file
135 F. Bethuel, H. Brezis and F. Hélein; Ginzburg-Landau vortices, Birkhäuser, 1994, xxvii +159p. pdf file
135L1 F. Bethuel, H. Brezis and F. Hélein; Mathematical problems related to liquid crystals, superconductors and superfluids, in Physics on Manifolds , Conference dedicated to Y. Choquet-Bruhat, Paris, 1992, (M. Flato, R. Kerner and A. Lichnerowicz eds.), Kluwer, 1994, p. 11-21. pdf file
135L2 H. Brezis; Vorticité quantifiée et énergie de Ginzburg-Landau, in Les Grands Systèmes des Sciences et de la Technologie, hommage à R. Dautray, (J. Horowitz and J. L. Lions eds.), Masson, 1994, p. 137-148. pdf file
136 H. Brezis and F. Merle and T. Rivière; Quantization effects for - Δ u = u (1 - |u|2) in ℝ2, Arch. Rat. Mech. Anal. 126 (1994), p. 35-58. pdf file
137 A. Ambrosetti, H. Brezis and G. Cerami; Combined effects of concave and convex non-linearities in some elliptic problems, J. Funct. Anal. 122 (1994), p. 519-543. pdf file
138 H. Brezis; Convergence in D' and L1 under strict convexity, in Boundary value problems for partial differential equations and applications, dedicated to E. Magenes, (C. Baiocchi and J.L. Lions eds.), Masson, 1993, p. 43-52. pdf file
139 F. Bethuel, H. Brezis and F. Hélein: Tourbillons de Ginzburg-Landau et énergie renormalisée, C. R. Acad. Sc. 317 (1993), p. 165-171. pdf file
140 H. Brezis and L. Nirenberg; H1 versus C1 local minimizers, C. R. Acad. Sc. 128 (1993), p. 165-171. pdf file
141 H. Brezis; Remarks on the preceding paper by M. Ben-Artzi, Arch. Rat. Mech. 128 (1994), p. 359-360. pdf file
142 H. Brezis and P. Mironescu; Sur une conjecture de E. De Giorgi relative à l'énergie de Ginzburg-Landau, C. R. Acad. Sc. 319 (1994), p. 167-170. pdf file
143 H. Brezis and L. Nirenberg; Degree theory and BMO, Part I : compact manifolds without boundaries, Selecta Math. 1 (1995), p. 197-263. pdf file
144 H. Brezis and L. Nirenberg; Degree theory and BMO, Part II : compact manifolds without boundaries, Selecta Math. 2 (1996), p. 309-368. pdf file
145 H. Brezis, Th. Cazenave, Y. Martel and A. Ramiandrisoa; Blow-up for ut - Δ u = g(u) revisited, Advances in Diff. Eq. 1 (1996), p. 73-90. pdf file
145CR H. Brezis, Th. Cazenave, Y. Martel and A. Ramiandrisoa; Retour sur les phénomènes d'explosion pour ut - Δ u = g(u), C. R. Acad. Sc. 321 (1995), p. 1305-1308. pdf file
146 H. Brezis, F. Golse and R. Sentis; Analyse asymptotique de l'équation de Poisson couplée à la relation de Boltzmann. Quasi-neutralité des plasmas, C. R. Acad. Sc. 321 (1995), p. 953-959. pdf file
147 H. Brezis and T. Cazenave; A nonlinear heat equation with singular initial data, J. Analyse Math. 68 (1996), p. 277-304. pdf file
148 H. Brezis; New developments on the Ginzburg-Landau model, Topological methods in Nonlinear Analysis 4 (1994), p. 227-236. pdf file
149 H. Brezis; Degree theory: old and new, in Topological Nonlinear Analysis II: Degree, Singularity and Variations, Frascati, 1995, (M. Matzeu and A. Vignoli ed.), Birkhäuser, 1997, p. 87-108. pdf file
150 A. Bahri and H. Brezis; Nonlinear elliptic equations on Riemannian manifolds with Sobolev critical exponent, in Topics in Geometry (S. Gindinkin ed.), Birkhäuser, 1996, p. 1-100. pdf file
151 H. Brezis and L. Nirenberg; Removable singularities for nonlinear elliptic equations, Topological methods in Nonlinear Analysis 9 (1997), p. 201-219. pdf file
152 H. Brezis and J.L. Vazquez; Blow-up solutions of some nonlinear elliptic problems, Revista Mat. Univ. Complutense Madrid 10 (1997), p. 443-469. pdf file
153 H. Brezis and L. Nirenberg; A Lyapunov Schmidt procedure involving a nonlinear projection, in Multidimensional complex analysis and PDE (P.D. Cordaro and H. Jacobowitz eds.), Contemporary Math. 205, Amer. Math. Soc., 1997, p. 25-32. pdf file
154 H. Brezis and F. Browder; Partial differential equations in the 20th, Advances in Math. 135 (1998), p. 76-144. Equazioni differenziali alle derivate parziali, in Storia della scienza S. Petruccioli, Editor in Chief, Roma, Istituto della Enciclopedia, vol III, 2004, p. 183-192. pdf file
155 H. Brezis; Lectures on the Ginzburg-Landau Vortices, (will be published as part of book [6]). pdf file
156 H. Brezis and X. Cabre; Some simple nonlinear PDE's without solutions, Boll. Unione Mat. Ital. 1-B (1998), p. 223-262. pdf file
157 H. Brezis and M. Marcus; Hardy's inequalities revisited, Ann. Sc. Norm. Sup. Pisa 25 (1997), p. 217-237. pdf file
158 H. Brezis; Symmetry in Nonlinear PDE's, in Differential Equations, La Pietra, 1996, Proc. Symp. Pure Math., 65, (M. Giaquinta, J. Shatah and S. R. S. Varadhan eds.), Amer. Math. Soc., 1999, p. 1-12. pdf file
159 L. Boccardo and H. Brezis; Some remarks on a class of elliptic equations with degenerate coercivity, Boll. Unione Mat. Ital. 6 (2003), p. 521-530. pdf file
160 H. Brezis, M. Marcus and I. Shafrir; Extremal functions for Hardy's inequality with weight, J. Funct. Anal. 171 (2000), p. 177-191. pdf file
161 H. Brezis, Y. Li, P. Mironescu and L. Nirenberg; Degree and Sobolev spaces, Topological methods in Nonlinear Analysis 13 (1999), p. 181-190. pdf file
162 J. Bourgain, H. Brezis and P. Mironescu; Lifting in Sobolev spaces, J. Analyse Math. 80 (2000), p. 37-86. pdf file
163 H. Brezis, S. Kamin and G. Sivashinsky; Initiation of subsonic detonation, Asymptotic Anal. 24 (2000), p. 73-90. pdf file
164 H. Brezis; Is there failure of the Inverse Function Theorem?, in Morse theory, Minimax theory and their Applications in Nonlinear Differential Equations, Proc. Workshop held at the Chinese Acad. of Sciences, Beijing, 1999, (H. Brezis, S.J. Li, J.Q. Liu and P. Rabinowitz eds.), International Press, 2003, p. 23-33. pdf file
165 H. Brezis and Y. Li; Topology and Sobolev spaces, J. Funct. Anal. 183 (2001), p. 321-369. pdf file
165CR H. Brezis and Y. Li; Topology and Sobolev spaces, C.R. Acad. Sc. 331 (2000), p. 365-370. pdf file
165L1 H. Brezis; Homotopy classes in Sobolev spaces, in Lectures on Partial Differential Equations, Proceedings of a conference in honor of Louis Nirenberg's 75th Birthday, Taiwan, 2000, ( S.Y. A. Chang, C.S. Lin and H.T. Yau eds.), International Press, 2003, p. 35-41. pdf file
165L2 H. Brezis; The fascinating homotopy structure of Sobolev spaces, Proceedings of the meeting "Renato Caccioppoli and modern analysis", Accademia dei Lincei, Rome, June 2002, Rend. Mat. Acc. Lincei (9) 14 (2003), p. 207-217. pdf file
166 J. Bourgain, H. Brezis and P. Mironescu; On the structure of the Sobolev space H1/2 with values into the circle, C. R. Acad. Sc. 331 (2000), p. 119-124 . pdf file
167 J. Bourgain, H. Brezis and P. Mironescu; Another look at Sobolev spaces, in Optimal Control and Partial Differential Equations, (J. L. Menaldi, E. Rofman and A. Sulem eds.), a volume in honour of A. Bensoussan's 60th birthday, IOS Press, 2001, p. 439-455. pdf file
168 F. Bethuel, H. Brezis and G. Orlandi; Small energy solutions to the Ginzburg-Landau equation, C.R. Acad. Sc. 331 (2000), p. 763-770. pdf file
169 H. Brezis and P. Mironescu; Composition in fractional Sobolev spaces, Discrete and Cont. Dyn. Syst. 7 (2001), p. 241-246. pdf file
170 J. Bourgain, H. Brezis and P. Mironescu; Limiting embedding theorems for W s,p when s ↑ 1 and applications, volume dedicated to the memory of T. H. Wolff, J. Analyse Math. 87 (2002), p. 77-101. pdf file
171 J. Bourgain and H. Brezis; On the equation div Y = f and application to control of phases, J. Amer. Math. Soc. 16 (2003), p. 393-426. pdf file
171CR J. Bourgain and H. Brezis; Sur l'équation div u = f, C. R. Acad. Sc. 334 (2002), p. 973-976. pdf file
172 F. Bethuel, H. Brezis and G. Orlandi; Asymptotics for the Ginzburg-Landau equation in arbitrary dimensions, J. Funct. Anal. 186 (2001), p. 432-520. pdf file
172A F. Bethuel, H. Brezis and G. Orlandi; Asymptotics for the Ginzburg-Landau equation in arbitrary dimensions, Erratum, J. Funct. Anal. 188 (2002), p. 548-549. pdf file
173 H. Brezis and P. Mironescu; Gagliardo-Nirenberg, composition and products in fractional Sobolev spaces, J. Evolution Equations 1 (2001), p. 387-404. pdf file
174 H. Brezis and S. Serfaty; A variational formulation for the two-sided obstacle problem with measure data, Comm. Contemp. Math. 4 (2002), p. 357-374. pdf file
175 H. Brezis and P. Mironescu; On some questions of topology for S1-valued fractional Sobolev spaces, Rev. R. Acad. Ciencias, Madrid, 95 (2001), p. 121-143. pdf file
176 F. Bethuel, J. Bourgain, H. Brezis and G. Orlandi; W1,p estimates for solutions to the Ginzburg-Landau equation with boundary data in H1/2, C. R. Acad. Sc. 333 (2001), p. 1069-1076. pdf file
177 Ph. Bénilan and H. Brezis; Nonlinear problems related to the Thomas-Fermi equation, J. Evolution Equations 3 (2003), p. 673-770. pdf file
178 H. Brezis; The interplay between analysis and topology in some nonlinear PDEs, invited lecture at the AMS meeting "Mathematical Challenges of the 21st Century", Los Angeles, 2000, Bull. Amer. Math. Soc. 40 (2003), p. 179-201. pdf file
179 H. Brezis and A. Ponce; Remarks on the strong maximum principle, Diff. Integral Equations 16 (2003), p. 1-12. pdf file
180 H. Brezis; How to recognize constant functions. Connections with Sobolev spaces, Volume in honor of M. Vishik, Uspekhi Mat. Nauk 57 (2002), 59-74 (in Russian). English translation in Russian Math. Surveys 57 (2002), p.693-708. pdf file
181 J. Bourgain, H. Brezis and P. Mironescu; H1/2 maps into the circle: minimal connections, lifting, and the Ginzburg-Landau equation, Publications mathématiques de l' IHES 99 (2004), p. 1-115. pdf file
182 H. Brezis, L. Dupaigne and A. Tesei; On a semilinear elliptic equation with inverse-square potential, Selecta Math. 11 (2005), p. 1-7. pdf file
183 J. Bourgain, H. Brezis and P. Mironescu; Lifting, degree, and distributional Jacobian, revisited, Comm. Pure Appl. Math. 58 (2005), p. 529-551. pdf file
184 H. Brezis, P. Mironescu and A. Ponce; W1,1-maps with values into S1, in Geometric Analysis of PDE and Several Complex Variables: Dedicated to Francois Treves, (S. Chanillo, P. Cordaro, N. Hanges, J. Hounie and A. Meziani eds.), Contemporary Mathematics Series 368, Amer. Math. Soc., 2005, p. 69-100. pdf file
185 H. Brezis and A. Ponce; Kato's inequality when Δ u is a measure, C. R. Acad. Sc. 338 (2004), p. 599-604. pdf file
186 J. Bourgain and H. Brezis; New estimates for the Laplacian, the div-curl and related Hodge systems, C. R. Acad. Sc. 338 (2004), p. 539-543. pdf file
187 H. Brezis, M. Marcus and A. Ponce; Nonlinear elliptic equations with measures revisited, in Mathematical Aspects of Nonlinear Dispersive Equations (J. Bourgain, C. Kenig, and S. Klainerman eds.), Annals of Mathematics Studies 163, Princeton University Press, Princeton, NJ 2007, p. 55-110. pdf file
187CR H. Brezis, M. Marcus and A. Ponce; A new concept of reduced measure for nonlinear elliptic equations, C. R. Acad. Sc., 339 (2004), p. 169-174. pdf file
188 H. Brezis and L. A. Peletier; Elliptic equations with critical exponent on spherical caps of S3, J. Analyse Math. 98 (2006), p. 279-316. pdf file
188CR H. Brezis and L. A. Peletier; Elliptic equations with critical exponent on spherical caps of S3: new non-minimising solutions, C. R. Acad. Sc. 339 (2004), p. 391-394. pdf file
189 H. Brezis; New questions related to the topological degree, in The Unity of Mathematics (P. Etinghof, V. Retakh and I.M. Singer eds.), Proceedings of the Conference in honor of the 90th birthday of I.M. Gelfand held in Sept. 2003, Birkhäuser, 2006, p. 137-154. pdf file
190 H. Brezis and A. Ponce; Reduced measures on the boundary, J. Funct. Anal. 229 (2005), p. 95-120. pdf file
191 H. Brezis and A. Ponce; Reduced measures for obstacle problems, Advances in Diff. Eq. 10 (2005), p. 1201-1234. pdf file
192 J. Bourgain, H. Brezis and H.-M. Nguyen; A new estimate for the topological degree, C. R. Acad. Sc. 340 (2005), p. 787-791. pdf file
193 H. Brezis, M. Chipot and Y. Xie; Some remarks on Liouville type theorems, in Recent Advances in Nonlinear Analysis (M. Chipot, C.S. Lin and D.H. Tsai eds.), Proceedings of the Conference in Nonlinear Analysis held in Taiwan in Nov. 2006, World Scientific, 2008, p. 43-65. pdf file
194 H. Brezis and Y. Li; Some nonlinear elliptic equations have only constant solutions, J. of Partial Differential Equations (volume dedicated to Kung-Ching Chang on the occasion of his 70th birthday) 19 (2006), p. 208-217. pdf file
195 J. Bourgain and H. Brezis; New Estimates for Elliptic Equations and Hodge type systems, J. European Math. Soc. 9 (2007), p. 277-315. pdf file
196 H. Brezis and J. Van Schaftingen; Boundary estimates for elliptic systems with L1- data, Calc. Var. PDE 30 (2007), p. 369-388. pdf file
197 H. Brezis and M. Willem; On some nonlinear equations with critical exponents, J. Funct. Anal. (volume dedicated to Paul Malliavin) 255 (2008), p. 2286-2298. pdf file
198 H. Brezis and A. Ponce; Kato's inequality up to the boundary, Comm. Contemp. Math. 10 (2008), p. 1217-1241. pdf file
199 H. Brezis and P. Mironescu; Density in W s,p (Ω ; N), J. Funct. Anal. 269 (2015), p. 2045-2109. pdf file
200 H. Brezis and J. Van Schaftingen; Circulation integrals and critical Sobolev spaces: problems of optimal constants, in Perspectives in Partial Differential Equations, Harmonic Analysis and Applications: A volume in honor of V. Maz'ya 70th birthday, Proc. Symp. Pure Math. 79, (D. Mitrea and M. Mitrea eds.) Amer. Math. Soc., 2008, p. 33-47. pdf file
201 H. Brezis; Solution of a conjecture by J. Serrin, Appendix in the paper by A. Ancona, Elliptic operators, conormal derivatives and positive parts of functions, J. Funct. Anal. 257 (2009), p. 2147-2158. pdf file
201CR H. Brezis; On a conjecture of J. Serrin, Rend. Lincei Mat. Appl. 19 (2008), p. 335-338. pdf file
202 H. Brezis and H.-M. Nguyen; On the distributional Jacobian of maps from SN into SN in fractional Sobolev and Hölder spaces, Annals of Math. 173 (2011), p. 1141-1183. pdf file
203 H. Brezis and H.-M. Nguyen; The Jacobian determinant revisited, Inventiones 185 (2011), p. 17-54. pdf file
204 H. Brezis and J. Mawhin; Periodic solutions of the forced relativistic pendulum, Diff. Integral Equations 23 (2010), p. 801-810. pdf file
205 H. Brezis and J. Mawhin; Periodic solutions of Lagrangian systems of relativistic oscillators, Comm. Appl. Analysis 15 (2011), p. 235-250. pdf file
206 H. Brezis and H.-M. Nguyen; On a new class of functions related to VMO, C. R. Acad. Sc. 349 (2011), p. 157-160. pdf file
207 H. Brezis; Comments on two notes by L. Ma and X. Xu, C. R. Acad. Sc. 349 (2011), p. 269-271. pdf file
208 J. Bourgain, H. Brezis and P. Mironescu; A new function space and applications, J. European Math. Soc. 17 (2015), p. 2083-2101. pdf file
209 L. Ambrosio, J. Bourgain, H. Brezis and A. Figalli; BMO-type norms related to the perimeter of sets, Comm. Pure Appl. Math. 69 (2016), p. 1062-1086. pdf file
209CR L. Ambrosio, J. Bourgain, H. Brezis and A. Figalli; Perimeter of sets and BMO-type norms, C.R. Acad. Sc. 352 (2014), p. 697-698. pdf file
210 H. Brezis and H.-M. Nguyen; Nonlocal functionals related to the total variation and applications in Image Processing, Annals of PDE 4:9 (2018), 77pp. pdf file
210CR H. Brezis and H.-M. Nguyen; Non-convex, non-local functionals converging to the total variation, C. R. Acad. Sc. 355 (2017), p. 24-27. pdf file
211 Y. Aflalo, H. Brezis and R. Kimmel; On the optimality of shape and data representation in the spectral domain, SIAM Journal on Imaging Sciences 8 (2015), p. 1141-1160. pdf file
212 H. Brezis; New approximations of the total variation and filters in Imaging, Rend Accad. Lincei 26 (2015), p. 223-240. pdf file
213 H. Brezis, P. Mironescu and I. Shafrir; Distances between homotopy classes of Ws,p(SN;SN), ESAIM:COCV 22 (2016), p. 1204-1235. pdf file
214 H. Brezis, P. Mironescu and I. Shafrir; Distances between classes in W 1,1(Ω ; S1) , Calc. Var. PDE 57:14 (2018), 32 pp. pdf file
214CR H. Brezis, P. Mironescu and I. Shafrir; Distances between homotopy classes of sphere-valued Sobolev maps, C.R. Acad. Sc. 354 (2016), p. 677-684. pdf file
215 H. Brezis and H.-M. Nguyen; Two subtle convex nonlocal approximations of the BV norm, Nonlinear Analysis: Theory, Methods and Applications 137 (2016), p. 222-245. pdf file
216 H. Brezis and H.-M. Nguyen; The BBM formula revisited, Rend. Accad. Lincei 27 (2016), p. 515-533. pdf file
217 Y. Aflalo, H. Brezis, A. Bruckstein, R. Kimmel and N. Sochen; Best bases for signal spaces, C. R. Acad. Sc. 354 (2016), p. 1155-1167. pdf file
218 H. Brezis and D. Gomez-Castro; Rigidity of optimal bases for signal spaces, C. R. Acad. Sc. 355 (2017), p. 780-785. pdf file
219 H. Brezis and P. Mironescu; Gagliardo-Nirenberg inequalities and non-inequalities: the full story, Ann. IHP Nonlinear Anal. 35 (2018), p. 1355-1376. pdf file
220 H. Brezis; Remarks on Monge-Kantorovich problem in the discrete setting, C. R. Acad. Sc. 356 (2018), p. 207-213. pdf file
221 H. Brezis and P. Mironescu; Minimizers of the W 1,1-energy of S1-valued maps with singularities. Do they exist?, Nonlinear Analysis 177 (2018), p. 105-134. pdf file
222 H. Brezis, P. Mironescu and I. Shafrir; Radial extensions in fractional Sobolev spaces, RACSAM, Rev. R. Acad. Ciencias, Madrid, 113 (2019), p. 707-714. pdf file
223 H. Brezis; Remarks on some minimization problems associated with BV norms, DCDS-A, Discrete and Continuous Dynamical Systems - A (a volume dedicated to Luis Caffarelli) 39 (2019), p. 7013-7029. pdf file
224 H. Brezis and P. Mironescu; Where Sobolev interacts with Gagliardo--Nirenberg, J. Funct. Anal. 277 (2019), p. 2839-2864. pdf file
225 H. Brezis and P. Mironescu; The Plateau problem from the perspective of optimal transport, C. R. Acad. Sc. 357 (2019), p. 597-612. pdf file
226 H. Brezis and H.-M. Nguyen; Gamma-convergence of non-local, non-convex functionals in one dimension, Comm. Contemp. Math. 22 no.7 (2020), 1950077, 27pp. pdf file
227 H. Brezis and H.-M. Nguyen; Non-local, non-convex functionals converging to Sobolev norms, Nonlinear Analysis 191 (2020), 111626, 9pp. pdf file
228 H. Brezis; Regularized interpolation driven by total variation, Analysis in Theory and Applications 35 (2019), p. 335-354. pdf file
229 H. Brezis, J. Van Schaftingen and P.-L. Yung; A surprising formula for Sobolev norms, Proc. Nat. Acad. Sci. U.S.A 118, no. 8 (2021) e2025254. pdf file
230 H. Brezis, J. Van Schaftingen and P.-L. Yung; Going to Lorentz when fractional Sobolev, Gagliardo and Nirenberg estimates fail, Calc Var. PDE 60:129 (2021), 12p. pdf file
231 H. Brezis, A. Seeger, J. Van Schaftingen and P.-L. Yung; Families of functionals representing Sobolev norms, Analysis & PDE, (to appear). pdf file
232 H. Brezis and A. Bruckstein; A sharp relative isoperimetric inequality for the square, C. R. Acad. Sc. 359 (2021), p. 1191-1199. pdf file
233 H. Brezis, A. Seeger, J. Van Schaftingen and P.-L. Yung; Sobolev spaces revisited, Rend. Accad. Lincei, (to appear). pdf file
234 H. Brezis; Some of my favorite open problems, Rend. Accad. Lincei, (to appear). pdf file

Books

1 H. Brezis; Opérateurs maximaux monotones et semi-groupes de contractions dans les espaces de Hilbert, North-Holland (1973). pdf file
2 H. Brezis; Analyse fonctionnelle; théorie et applications, Masson (1983), numerous subsequent editions; reprinted by Dunod (1999). pdf file
Translation to Chinese (Tsinghua University Press) pdf file
Translation to Greek (Technical University of Athens Press) pdf file
Translation to Italian (Liguori) pdf file
Translation to Japanese (Sangyo Tosho) pdf file
Translation to Korean (Kyung Moon Publishers) pdf file
Translation to Romanian (Editura Academiei Romana) pdf file
Translation to Spanish (Alianza) pdf file
3 F. Bethuel, H. Brezis and F. Hélein; Ginzburg-Landau Vortices, Birkhäuser (1994), xxvii+158p. pdf file
4 H. Brezis; Un mathématicien juif, Entretien avec Jacques Vauthier, Beauchesne (1999). pdf file
5 H. Brezis; Functional Analysis, Sobolev Spaces and PDEs, Springer (2010), xiii+599p. pdf file
6 H. Brezis and P. Mironescu; Sobolev Maps to the Circle--- From the Perspective of Analysis, Geometry and Topology, Birkhäuser, (2021), xxxi+ 530p. pdf file

Books edited

1 H. Brezis and J.L. Lions eds. Nonlinear partial differential equations and their applications. Séminaire du Collège de France, Pitman. Vol. 1 (1981), Vol. 2 (1982), Vol. 3 (1982), Vol. 4 (1983), Vol. 5 (1983), Vol. 6 (1984), Vol. 7 (1985), Vol. 8 (1988), Vol. 9 (1988), Vol. 10 (1991), Vol. 11 (1994), Vol. 12 (1994).
2 H. Berestycki and H. Brezis eds. Recent contributions to nonlinear partial equations, Pitman 1981.
3 H. Brezis, M. Crandall and F. Kappel eds. Semigroups, theory and applications, 2 volumes, Pitman 1986.
4 H. Brezis, ShuJie Li, JiaQuan Liu and P. Rabinowitz eds. Morse theory, Minimax theory and their Applications in Nonlinear Differential Equations, Proc. Workshop held at the Chinese Acad. of Sciences, Beijing, 1999, International Press, 2003.
5 H. Brezis, K. C. Chang, ShuJie Li, and P. Rabinowitz eds. Topological methods, Variational methods and their applications, World Scientific Publishing Co, 2003.
6 H. Brezis and Tatsien Li eds. Ginzburg-Landau Vortices, World Scientific Publishing Co, 2005.

Miscellaneous

1 H. Brezis; Point fixes, Sém. Choquet, tome 4 (1964-65), 23 pp. pdf file
2 H. Brezis; Les opérateurs monotones, Sém. Choquet, tome 5 (1965-66), 33 pp. pdf file
3 H. Brezis; Sur certains problèmes non linéaires, Sém. Choquet, tome 6 (1966-67), 18 pp. pdf file
4 H. Brezis; Prolongement d'applications lipschitziennes et de semi-groupes de contractions, Sém. Choquet, tome 9 (1969-70), 9 pp. pdf file
5 H. Brezis; Review of the book An introduction to variational inequalities and their applications, by D. Kinderlehrer and G. Stampacchia, Bull. Amer. Math. Soc. 7 (1982), p. 622-627. pdf file
6 H. Brezis, F. Browder and L. Nirenberg; Poincaré's vision, Letter to the Editors, Notices of the Amer. Math. Soc. 54 (2007), p. 6-7. pdf file
7 H. Brezis and D. Stroock; Paul Malliavin and the Journal of Functional Analysis, J. Funct. Anal. 255 (2008), p. 2097-2098. pdf file
8 H. Brezis; Commentaries on two papers of J. Serrin, in James Serrin. Selected papers (P. Pucci, V. D. Radulescu and H. Weinberger eds.), Birkhäuser, 2014. vol. 1, p. 779-780 and vol. 2, p. 823-825. pdf file
9 H. Brezis; Abbas Bahri, in Memoriam, Feb. 2016 . pdf file
10 H. Brezis (Guest Editor); Felix Browder Memorial, Notices of the Amer. Math. Soc. 65 (2018), p. 1398-1411. pdf file