Séminaire EDP-Analyse ICJ

The symmetry of stable solutions of semilinear elliptic equations.

by Samuel Nordmann (Tel Aviv)

Salle 112 (ICJ)

Salle 112



Consider a general semilinear elliptic equation with Neumann boundary conditions. A seminal result of Casten, Holland (1978) and Matano (1979) states that, if the domain is convex and bounded, any stable solution is constant. In this talk, we will investigate whether this result extends either to convex unbounded domains, or to non-convex domains