Special Session 95: Nonlinear analysis and elliptic boundary value problems

Existence of multiple solutions for specific classes of nonlinear anisotropic problems

Angela Sciammetta
University of Palermo
Italy
Co-Author(s):    
Abstract:
In this talk, we explore several results concerning the existence and multiplicity of solutions to anisotropic Laplacian problems with Dirichlet boundary conditions. Our findings include two nontrivial weak solutions, proven both with and without relying on the Ambrosetti-Rabinowitz condition. Moreover, we point out the existence of three solutions for a particular type of anisotropic Laplacian problem.