Volume no :4, Issue no: 1, August (2010)

Journal of Pure and Applied Mathematics: Advances and Applications

SEMICLASSICAL STATES FOR THE NONLINEAR KLEIN-GORDON-MAXWELL SYSTEM

Author's: Giusi Vaira
Pages: [59] - [95]
Received Date: August 28, 2010
Submitted by:

Abstract

In the following, we consider the Klein-Gordon-Maxwell system with some positive potentials in We establish the existence of single spikes concentrating around critical points of the potentials. Also necessary conditions for the concentration are given.

Keywords

semiclassical states, Klein-Gordon equation, variational methods, perturbation technique.