Klein-Gordon-Maxwell Systems with Nonconstant Coupling Coefficient
Monica Lazzo, Lorenzo Pisani
TL;DR
This paper investigates a Klein-Gordon-Maxwell system with a nonconstant coupling coefficient in a bounded domain, demonstrating the existence of infinitely many static solutions for small data under Neumann boundary conditions.
Contribution
It introduces the analysis of Klein-Gordon-Maxwell systems with variable coupling coefficients and proves the existence of multiple solutions in a bounded domain.
Findings
Existence of infinitely many static solutions for small data
Analysis under Neumann boundary conditions
Extension to nonconstant coupling coefficients
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.
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