Multiple positive solutions for nonhomogeneous Schrödinger-Poisson systems with Berestycki-Lions type conditions

Abstract

In this article, we consider the multiplicity of solutions for nonhomogeneous Schrödinger-Poisson systems under the Berestycki-Lions type conditions. With the aid of Ekeland's variational principle, the mountain pass theorem and a Pohozaev type identity, we prove that the system has at least two positive solutions.