Existence results for the
Klein-Gordon-Maxwell equations in higher dimensions with critical
Paulo Cesar Carrião - Departamento de Matematica, Universidade Federal de Minas Gerais, 31270-010 Belo Horizonte-MG, Brazil (email)
Abstract: In this paper we study the existence of radially symmetric solitary waves in $R^N$ for the nonlinear Klein-Gordon equations coupled with the Maxwell's equations when the nonlinearity exhibits critical growth. The main feature of this kind of problem is the lack of compactness arising in connection with the use of variational methods.
Keywords: Klein-Gordon-Maxwell system, radially symmetric solution, critical
Received: May 2010; Revised: August 2010; Published: December 2010.
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