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Solitary waves for nonlinear Klein–Gordon–Maxwell and Schrödinger–Maxwell equations

Published online by Cambridge University Press:  12 July 2007

Teresa D'Aprile
Affiliation:
Dipartimento Interuniversitario di Matematica, via E. Orabona 4, 70125 Bari, Italy (daprile@dm.uniba.it)
Dimitri Mugnai
Affiliation:
Dipartimento di Matematica e Informatica, via Vanvitelli 1, 06123 Perugia, Italy (mugnai@dipmat.unipg.it)

Abstract

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.

Type
Research Article
Copyright
Copyright © Royal Society of Edinburgh 2004

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