On critical points of solutions of semilinear elliptic problems

SEMINARIO DE ECUACIONES DIFERENCIALES

Conferenciante: Fabio de Regibus (Universidad de Granada)

Abstract: We are interested in qualitative properties of solutions of the semilinear elliptic problems with zero Dirichlet boundary conditions in bounded and smooth domains. We want to focus on the relations between the shape of the solutions and the one of the domain. In particular we investigate the number of critical points of the solutions with respect to the convexity of the domain. Both the cases of positive and sign-changing solutions are treated. Works in collaboration with L. Battaglia (Università di Roma Tre) and M. Grossi (Università La Sapienza).