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

Mathematics – Analysis of PDEs

Scientific paper

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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

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