Mini-courses and Conference on Nonlinear Elliptic Equations

Organized by Yanyan Li (Rutgers University) and Fanghua Lin (Courant Institute). These activities are financed by NSF-DMS-FRG: Collaborative Research : Emerging Issues in the Sciences Involving Non-Standard Diffusion, coordinated by Henri Berestycki, Luis Caffarelli, Yanyan Li, Fanghua Lin and Luis Silvestre.

During May 13-22, 2013, we will have a concentration period involving issues on nonlinear elliptic and parabolic equations with non-standard diffusion and applications.

The first part, May 13-18, will be at Rutgers University, while the second part, May 20-22, will be at Courant Institute.

Poster for detailed information.

Activities

\(\blacktriangleright \) Part I. May 13-18, 2013, Rutgers University

Mini-course by Luis Caffarelli
    The Monge–Ampère equation and some nonlocal variations

Mini-course by C. Robin Graham
    Dirichlet problem on asymptotically hyperbolic manifolds

Mini-course by Fanghua Lin
    A couple of problems in the theory of homogenization

Mini-course by Juncheng Wei
    Gluing methods and entire solutions of nonlinear field equations pdf

Special lectures:

Xavier Cabré
     Sharp isoperimetric inequalities via the ABP method

María del Mar González
     The CR fractional Laplacian and the fractional CR Yamabe problem

Tianling Jin
     Solutions of some Monge–Ampère equations with degeneracy or singularities

Eduardo Teixeira
     Free boundary problems and their geometric regularity theory

Michael Vogelius
     Approximate cloaking by mapping

Changyou Wang
     Global weak solution of the general Ericksen-Leslie system in dimension two

Lei Zhang
     Blowup solutions to Liouville systems and Toda systems

First two days (May 13, 14): CoRE Building Lecture Hall

May 15-18: Hill Center 705

Schedule of mini-courses and talks

\(\blacktriangleright \) Part II. May 20-22, 2013, Courant Institute

Recent Advances in Nonlinear Partial Differential Equations

Invited speakers: Henri Berestycki, Haïm Brezis\(^*\), Luis Caffarelli, Alice Chang, Irene Gamba, Wilfrid Gangbo\(^\ast\), Alessio Figalli, Yanyan Li, Fanghua Lin, Régis Monneau, Manuel Del Pino, Jean-Michel Roquejoffre, Ovidiu Savin, Luis Silvestre, Juncheng Wei.
\(*\) to be confirmed.

Lodging information at Rutgers during May 12-19, 2013:

The Heldrich

Hyatt Regency New Brunswick

Rutgers University Inn and Conference Center

Getting Involved

If you are interested in participating, please fill the registration form.

Any opinions, findings and conclusions or recomendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation (NSF).