Existence and multiplicity of positive solutions for a schrödinger-poisson system with a perturbation

Abstract

In this paper we study the nonlinear Schrödinger-Poisson system with a perturbation (Formula Present) where K and f are nonnegative functions, 2 < q ≤ p < 6 and p > 4, and the parameter λ ∈ ℝ. Under some suitable assumptions on K and f, the criteria of existence and multiplicity of positive solutions are established by means of the Lusternik-Schnirelmann category and minimax method.