Improved estimates and a limit case for the electrostatic Klein-Gordon-Maxwell system

Details Improved estimates and a limit case for the electrostatic Klein-Gordon-Maxwell system Improved estimates and a limit case for the electrostatic Klein-Gordon-Maxwell system

2009-11-30

arxiv.org/abs/0911.5599v1

Mathematics

Analysis of PDEs

18 pages, a figure

Scientific paper

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.

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