The intensive period will concentrate upon four topics. Each week of June will be devoted to one topic, with mini-courses and invited seminars at a doctoral/post doctoral level. Seminars at a more specialized level will be organized in July. Financial support (board and lodging) for young participants will be provided upon selection. Deadline for applications for financial support is March 15th, 2012. For detailed information about application procedure please link to http://crm.sns.it/event/233/financial.html
The topics covered will be: Quantitative geometric and functional inequalities with applications to the stability of solutions of variational problems and elliptic differential equations. Existence and regularity of solutions to optimal shape problems. Shape optimization and its connections with geometric inequalities and spectral geometry . Bi-Sobolev mappings, mappings of finite distortion, mappings with or without the N-property. Extensions and approximations of bi-Sobolev mappings. Nonlinear elliptic and parabolic equations, slow and fast diffusion. Entropy methods and functional inequalities. Connections with geometry.
The weekly courses in June will be given by Dorin Bucur, Bernd Kawhol, Michel Pierre, Tadeusz Iwaniec, Pekka Koskela, Jan Maly, Xavier Cabre, Camillo De Lellis, Julio Rossi, Jean Dolbeaut, Giuseppe Mingione and Panagiota Daskalopoulos.
Three workshops will be organized in July by Juan Luis Vazquez, Aldo Pratelli and Nicola Fusco, Antoine Henrot.
A detailed scheme about planned activities is available at http://crm.sns.it/event/233/activities.html#title.