Standing Waves for Nonautonomous Klein-Gordon-Maxwell Systems
Monica Lazzo, Lorenzo Pisani
TL;DR
This paper investigates the existence of multiple standing wave solutions in a nonautonomous Klein-Gordon-Maxwell system with Neumann boundary conditions, focusing on small data regimes and variable coupling coefficients.
Contribution
It establishes the existence of infinitely many standing waves in a bounded domain with nonconstant coupling, extending previous results to nonautonomous settings.
Findings
Infinitely many standing waves exist for small data.
Results apply to systems with nonconstant coupling coefficients.
Standing waves are found under Neumann boundary conditions.
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 standing waves.
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