Calculus of Variations and Geometric Measure Theory
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T. D'Aprile - D. Mugnai

Existence of Solitary Waves for the Nonlinear Klein-Gordon-Maxwell and Schrödinger-Maxwell Equations

created by mugnai on 08 Feb 2005


Published Paper

Inserted: 8 feb 2005

Journal: Proc. Roy. Soc. Edinburgh Sect. A.
Volume: 134
Number: 5
Pages: 893-906
Year: 2004


In this paper we study the existence of radially symmetric solitary waves for nonlinear Klein-Gordon equations and nonlinear Schrödinger equations coupled with Maxwell equations. The method relies on a variational approach and the solutions are obtained as mountain-pass critical points for the associated energy functional.

Keywords: Klein-Gordon-Maxwell system, Schrödinger-Maxwell system, solitary waves


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