Multiplicity of positive solution for Schrodinger-Poisson system with p-laplacian

Abstract

In this paper, we consider the positive solutions for a Schr¨odingerPoisson system containing p-Laplacian and Poisson equation. With a local condition on the potential, by using penalization method, Nehari manifold and LjusternikSchnirelmann category theory, the  multiplicity and concentration of solutions are obtained.