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

Abstract

In this paper, we study a class of Schrödinger–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

• schrödinger–bopp–podolsky system
• variational approach
• competing potentials
• bound state solution