Positive ground state solutions for the critical Klein-Gordon-Maxwell system with potentials
Analysis of PDEs
2012-03-09 v3
Abstract
This paper deals with the Klein-Gordon-Maxwell system when the nonlinearity exhibits critical growth. We prove the existence of positive ground state solutions for this system when a periodic potential V is introduced. The method combines the minimization of the corresponding Euler-Lagrange functional on the Nehari manifold with the Br\'ezis and Nirenberg technique
Cite
@article{arxiv.1005.4088,
title = {Positive ground state solutions for the critical Klein-Gordon-Maxwell system with potentials},
author = {Paulo C. Carriao and Patricia L. Cunha and Olimpio H. Miyagaki},
journal= {arXiv preprint arXiv:1005.4088},
year = {2012}
}
Comments
13 pages