Infinitely many solutions for a gauged nonlinear Schrödinger equation with a perturbation

Abstract

In this paper, we use the Fountain theorem under the Cerami condition to study the gauged nonlinear Schrödinger equation with a perturbation in R2. Under some appropriate conditions, we obtain the existence of infinitely many high energy solutions for the equation.

Keywords

• gauged Schrödinger equation
• infinitely many solutions
• Fountain theorem