Infinitely many solutions for $(p,q)$-Schrödinger-Poisson system with concave and convex nonlinearities

Abstract

In this paper, we obtain infinitely many solutions for a class of quasilinear Schrödinger-Poisson system which is coupled by a Schrödinger equation of $p$-Laplacian and a Poisson equation of $q$-Laplacian, involving with concave and convex nonlinearities and indefinite weighted functions.