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

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 Brézis and Nirenberg technique

preprint2012arXivOpen access
Paulo C. CarriaoPatricia L. CunhaOlimpio H. Miyagaki
math.AP
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Open access3 authors1 topic
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Paulo C. CarriaoPatricia L. CunhaOlimpio H. Miyagaki

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