The effect of the domain topology on the number of positive solutions of nonlinear elliptic problems.
Federico Stra (Politecnico di Torino, DISMA)
18 nov 2015 -- 15:30 [open in google calendar]
sala seminari, dipartimento di matematica di Pisa
Abstract.
In this seminar I present an article by Benci and Cerami (1991) in which they show that the Dirichlet problem of the Laplacian with a power source term admits at least as many positive solutions as the Lusternik-Schnirelman category of the domain.