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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  and
Dimitri Mugnai
Teresa D'Aprile
Affiliation:
Dipartimento Interuniversitario di Matematica, via E. Orabona 4, 70125 Bari, Italy ([email protected])
Dimitri Mugnai
Affiliation:
Dipartimento di Matematica e Informatica, via Vanvitelli 1, 06123 Perugia, Italy ([email protected])
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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
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 134 , Issue 5 , October 2004 , pp. 893 - 906
Copyright
Copyright © Royal Society of Edinburgh 2004

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