Special Session 56: Variational methods for nonlinear PDEs

Nonlinear Dirichlet problem with the anisotropic Laplacian operator

Giuseppina D`Agui`
University of Messina
Italy
Co-Author(s):    G. Bonanno- A. Sciammetta
Abstract:
In this talk, we focus on the existence of two nontrivial solutions to the Dirichlet problem associated with the anisotropic Laplacian operator. The proofs are based on critical point theory and the functional framework involves anisotropic Sobolev spaces.