Positive ground state solutions for the critical Klein-Gordon-Maxwell system with potentials

Positive ground state solutions for the critical Klein-Gordon-Maxwell system with potentials

Nonlinear Anal., 2012 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 E...

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Bibliographic Details
Main Authors: Carriao, Paulo C, Cunha, Patricia L, Miyagaki, Olimpio H
Format: Journal Article
Language:English
Published: 21-05-2010
Subjects:
Mathematics - Analysis of PDEs
Online Access:Get full text
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Summary:Nonlinear Anal., 2012 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
DOI:10.48550/arxiv.1005.4088