- Vivi Padova
- Il Bo
SEMINARIO DI EQUAZIONI DIFFERENZIALI E APPLICAZIONI
Mercoledì 22 Gennaio 2014 alle ore 12:00 in aula 1BC45, Francois Hamel (Université d'Aix-Marseille) terrà un seminario dal titolo "Semilinear elliptic equations in convex domains and convex rings".
In this talk, I will discuss some geometrical properties of positive solutions of semilinear elliptic equations in bounded convex domains or convex rings, with Dirichlet-type boundary conditions. A solution is called quasiconcave if its superlevel sets are convex. I will present two counterexamples, that is two cases of semilinear elliptic equations for which the solutions are not quasiconcave.
This talk is based on a joint work with N. Nadirashvili and Y. Sire.
Rif. Int. M. Bardi, C. Marchi, L. Rossi