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arXiv · 1005.4088

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

Paulo C. Carriao·Patricia L. Cunha·Olimpio H. Miyagaki
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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

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Paulo C. Carriao, Patricia L. Cunha, Olimpio H. Miyagaki. 2010-05-21. Positive ground state solutions for the critical Klein-Gordon-Maxwell system with potentials. https://arxiv.org/abs/1005.4088

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