Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
840668 | Nonlinear Analysis: Theory, Methods & Applications | 2012 | 11 Pages |
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 VV is introduced. The method combines the minimization of the corresponding Euler–Lagrange functional on the Nehari manifold with the Brézis and Nirenberg technique.
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Authors
Paulo C. Carrião, Patrícia L. Cunha, Olímpio H. Miyagaki,