Special Session 84: Regularity results of solutions of problems having nonstandard growth and nonuniform ellipticity

Multiplicity of solutions for certain types of nonlinear p-laplacian problems

Angela Sciammetta
University of Palermo
Italy
Co-Author(s):    
Abstract:
The talk addresses various existence and multiplicity results for different classes of Laplacian problems with Dirichlet boundary conditions. Specifically, we prove the existence of two nontrivial weak solutions, both with and without assuming the Ambrosetti-Rabinowitz condition. Additionally, we establish the existence of three solutions for a specific class of Laplacian problems.