Homepage of Sagun Chanillo

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Publications List

Recent Publications

• Small Divisor problems and A_p weights with an application
• Sharp Bounds for the Nusselt Number in Rayleigh-Benard Convection and a Bilinear Estimate via Carleson Measures(with A. Malchiodi)
• The Singular CR Yamabe Problem and Hausdorff Dimension(with Paul C. Yang)
• Resonances and Eigenvalues for the Constant Mean Curvature Equation
• Local Version of Courant's Nodal Domain theorem(with A. Logunov, E. Malinnikova and D. Mangoubi)
• Estimates of the Amplitude of Holonomies by the curvature of a Connection on a bundle(with Jean van Schaftingen)
• Almost Sure Boundedness of Iterates for Derivative Nonlinear Wave Eqns. (with M. Czubak, D. Mendelson, A. Nahmod and G. Staffiliani)
• Transmission eigenvalues and Scattering on Type I Fuchsian groups(with Fioralba Cakoni)
• Norm constants in cases of the Caffarelli-Kohn-Nirenberg inequality( with Akshay L. Chanillo and Ali Maalaoui)
• The Incompressible Navier-Stokes flow in 2D with Prescribed Vorticity( with Jean Van Schaftingen and Po-lam Yung)
• Bourgain-Brezis Estimates on Symmetric Spaces of Non-compact type(with Jean Van Schaftingen and Po-lam Yung)
• Applications of Bourgain-Brezis Inequalities to Fluid Mechanics and Magnetism(with J. Van Schaftingen and Po-lam Yung)
• Variations on a proof of a borderline Bourgain-Brezis Sobolev embedding theorem(with J. Van Schaftingen and Po-lam Yung)
• The CR Paneitz Operator and the Stability of CR Pluriharmonic Functions(with Jeffrey Case and Paul Yang)
• Absence of Self-Similar Blow-up and Local well posedness for the Constant Mean Curvature Wave Equation(with Po-lam Yung)
• A Remark on the Kernel of the CR Paneitz Operator(with Jeffrey Case and Paul Yang)
• Conformal Geometry and the Composite Membrane Problem
• Embedded Three-Dimensional CR Manifolds and the Non-Negativity of Paneitz Operators
  (with H.-L. Chiu and Paul Yang)
• A Remark on the Geometry of Uniformly Rotating Stars(with Georg Weiss)
• Wave Equations associated to Liouville Systems and Constant Mean Curvature Equations( with Po-lam Yung)
• An Improved Strichartz Estimate for Systems with Divergence Free data ( with Po-Lam Yung)
• Embeddability for Three Dimensional Cauchy-Riemann Manifolds and CR Yamabe Invariants
  (with Hung-Lin Chiu and Paul Yang)
• Isoperimetric Inequalities and Volume Comparison theorems on CR manifolds(with Paul Yang)
• Regularity of the Minimizers in the Composite Membrane Problem in R^2(with Carlos Kenig and Tung To)
• Subelliptic Bourgain-Brezis estimates on Groups (with Jean Van Schaftingen)
• Sharp Global Bounds for the Hessian on Pseudo-Hermitian Manifolds( with J.J. Manfredi)
• Weak Uniqueness and Partial Regularity for the Composite Membrane Problem(with C. Kenig)
• Schrodinger Equations on Complex Semi-simple Lie Groups
• Plateau Problem-H Surface Eqn.(A. Malchiodi)

Some Older Publications

• Non-Linear Eigenvalues and Analytic Hypoellipticity (B. Helffer, A. Laptev)
• Composite Membranes and Symmetry Breaking (D. Grieser, K. Kurata, M. Imai, I. Ohnishi)
• The Free Boundary Problem for Composite Membranes, Contemporary Math. of the AMS v. 268, (2000)(D. Grieser, K. Kurata)
• The Conformal Plate Buckling Eqn.(M. Kiessling)
• The Difference of Topology in Changing Sign Yamabe Problems, the case of two masses on S^3 (A. Bahri)
• Surfaces with Prescribed Gauss Curvature( A statistical Mechanics approach)( with M. Kiessling)
• Level lines of solutions to Non-Linear PDE in two dimensions (X. Cabre)
• First eigenvalue of the Hodge Laplacian (F. Treves)
• Local Exactness in Differential Complexes (Francois Treves)
• Remarks on Commutators of Pseudo-differential Operators
• Borg-Levinson Theorem and Inverse Problems for the Dirichlet to Neumann Map.
• Liouville's Eqn. and Conformally Invariant Systems of PDE of Liouville type, Toda Lattices (M. Kiessling)
• Continuity of solutions to Divergence form Elliptic eqns. in R^2 and Compensated Compactness (Yanyan Li)
• On Diameters of Uniformly Rotating white dwarf stars( with Yanyan Li)
• Symmetry and Symmetry Breaking of Solutions to Non-Linear PDE in Physics and Geometry(M. Kiessling)
• Nodal geometry on Riemannian Manifolds(with B. Muckenhoupt)

Research Monographs/Books

Optimal Weak type Inequalities for the Partial Cesaro Sum operator for Jacobi Polynomials

Geometric Analysis of PDE and Several Complex Variables

Harmonic Analysis, Partial Differential equations and Applications, a collection of papers in honor of Richard Wheeden

Course Information

Some Articles related to Mathematics and Miscellanea

CR Geometry and the work of Pancharatnam.

Some notes on Compact, Complex Surfaces Ramblings on Surfaces.

Some notes on Singular Integral Equations and Water Waves.

Notes on Class Number and Spectrum of Laplace operator Class Number, Spectrum and Analytic Number Theory.

Fibonacci numbers, partitions and Indian music and Poetry The Music and Poetry of India and Fibonacci Numbers

Primes in Short Intervals Primes in intervals

The Riemann Zeta function and probability Riemann Zeta Function

Notes on Kloosterman Sums Kloosterman Sums

Richard L. Wheeden Memorial Tribute(Notices of the AMS)Richard L. Wheeden In Memoriam 1940-2020

Google Scholar and Researchgate Pages

• Google Scholar Citations page

• Researchgate Profile page

Maintained by chanillo[at]math[dot]rutgers[dot]edu and last modified February 16,2024