Hénon type equations and concentration on spheres

In this talk, I will present the concentration profile of various kind of symmetric solutions of some semilinear elliptic problems arising in astrophysics and in diffusion phenomena. Motivated by these elliptic equations and exploiting their symmetry, I will discuss about solutions that concentrate and blow up at points and around spheres as the concentration parameter tends to infinity.



This seminar is organized within the PRIN 2012 Research project «Equazioni alle derivate parziali di tipo ellittico e parabolico: aspetti geometrici, disuguaglianze collegate, e applicazioni - Partial Differential Equations and Related Analytic-Geometric Inequalities» Grant Registration number 2012TC7588_003, funded by MIUR – Project coordinator Prof. Filippo Gazzola