Mathematics – Analysis of PDEs
Scientific paper
2010-05-21
Nonlinear Anal., 2012
Mathematics
Analysis of PDEs
13 pages
Scientific paper
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
Carriao Paulo C.
Cunha Patricia L.
Miyagaki Olimpio H.
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