Multiple solutions for a weighted p-Laplacian problem

Abstract

We prove the existence of at least three solutions for a weighted p-Laplacian operator involving Dirichlet boundary condition in a weighted Sobolev space. The main tool we use here is a three solution theorem in reflexive Banach spaces due to Bonanno and Ricceri. For more information see https://ejde.math.txstate.edu/conf-proc/26/k1/abstr.html