Klein–Gordon–Maxwell Systems with Nonconstant Coupling Coefficient

Abstract

We study a Klein–Gordon–Maxwell system in a bounded spatial domain under Neumann boundary conditions on the electric potential. We allow a nonconstant coupling coefficient. For sufficiently small data, we find infinitely many static solutions.

Keywords

• klein–gordon–maxwell systems
• static solutions
• variational methods, ljusternik–schnirelmann theory
• 35j50
• 35j57
• 35q40
• 35q60