Improved estimates and a limit case for the electrostatic Klein-Gordon-Maxwell system
Analysis of PDEs
2009-12-01 v1 Mathematical Physics
math.MP
Abstract
We study the class of nonlinear Klein-Gordon-Maxwell systems describing a standing wave (charged matter field) in equilibrium with a purely electrostatic field. We improve some previous existence results in the case of an homogeneous nonlinearity. Moreover, we deal with a limit case, namely when the frequency of the standing wave is equal to the mass of the charged field; this case shows analogous features of the well known "zero mass case" for scalar field equations.
Cite
@article{arxiv.0911.5599,
title = {Improved estimates and a limit case for the electrostatic Klein-Gordon-Maxwell system},
author = {Antonio Azzollini and Lorenzo Pisani and Alessio Pomponio},
journal= {arXiv preprint arXiv:0911.5599},
year = {2009}
}
Comments
18 pages, a figure