Existence and concentration of positive bound states for schrodinger-poisson systems with potential functions

Abstract

In this article we study the existence and concentration behavior of bound states for a nonlinear Schrodinger-Poisson system with a parameter epsilon > 0. Under suitable conditions on the potential functions, we prove that for epsilon small the system has a positive solution that concentrates at a point which is a global minimum of the minimax function associated to the related autonomous problem.