Existence of positive bound state solution for the nonlinear Schrödinger–Bopp–Podolsky system

Abstract

In this paper, we study a class of Schrodinger-Bopp-Podolsky system. Under some suitable assumptions for the potentials, by developing some calculations of sharp energy estimates and using a topological argument involving the barycenter function, we establish the existence of positive bound state solution. Keywords: Schrodinger-Bopp-Podolsky system, variational approach, competing potentials, bound state solution.