Speaker
Benedetta Noris, Politecnico di Milano
Abstract
We study a class of semilinear elliptic equations posed on bounded or unbounded annular domains in dimensions greater than or equal to three. The nonlinear terms considered exhibit superlinear growth at infinity and include both power-type and exponential-type nonlinearities. Under suitable assumptions, we establish the existence of a positive nonradial solution via techniques in the spirit of Szulkin’s nonsmooth critical point theory, applied within a convex cone in Orlicz spaces. Notably, the Trudinger–Moser inequality does not hold on the whole Sobolev space associated with the problem. This is a joint work with A. Boscaggin, F. Colasuonno, and F. Sani.
Benedetta Noris, Politecnico di Milano
Abstract
We study a class of semilinear elliptic equations posed on bounded or unbounded annular domains in dimensions greater than or equal to three. The nonlinear terms considered exhibit superlinear growth at infinity and include both power-type and exponential-type nonlinearities. Under suitable assumptions, we establish the existence of a positive nonradial solution via techniques in the spirit of Szulkin’s nonsmooth critical point theory, applied within a convex cone in Orlicz spaces. Notably, the Trudinger–Moser inequality does not hold on the whole Sobolev space associated with the problem. This is a joint work with A. Boscaggin, F. Colasuonno, and F. Sani.