Infinitely many large energy solutions of superlinear Schrodinger-Maxwell equations

Abstract

In this article we study the existence of infinitely many large energy solutions for the superlinear Schrodinger-Maxwell equations $$displaylines{ -Delta u+V(x)u+ phi u=f(x,u) quad hbox{in }mathbb{R}^3,cr -Delta phi=u^2, quad hbox{in }mathbb{R}^3, }$$ via the Fountain Theorem in critical point theory. In particular, we do not use the classical Ambrosetti-Rabinowitz condition.

Keywords

• Schrodinger-Maxwell equations
• superlinear
• fountain theorem
• variational methods