Existence and a priori bounds for electrostatic Klein-Gordon-Maxwell systems in fully inhomogeneous spaces

TL;DR

This paper establishes the existence and uniform bounds for electrostatic Klein-Gordon-Maxwell systems on compact Riemannian manifolds, particularly when the mass potential is small, expanding understanding in inhomogeneous spaces.

Contribution

It provides new existence results and bounds for Klein-Gordon-Maxwell systems in inhomogeneous settings with small mass potential.

Findings

Existence of solutions under small mass potential conditions

Uniform bounds for solutions in inhomogeneous spaces

Extension of previous results to compact Riemannian manifolds

Abstract

We prove existence and uniform bounds for electrostatic Klein-Gordon-Maxwell systems in the inhomogeneous context of a compact Riemannian manifold when the mass potential, balanced by the phase, is small in a quantified sense.