Nonradial solutions for the Klein-Gordon-Maxwell equations

Percy D. Makita

doi:10.3934/dcds.2012.32.2271

Article Contents

2012, Volume 32, Issue 6: 2271-2283. Doi: 10.3934/dcds.2012.32.2271

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Nonradial solutions for the Klein-Gordon-Maxwell equations

Percy D. Makita^1,

1.
Mathematical Institute, University of Giessen, Arndtstr. 2, D–35392 Giessen

Received: March 31, 2011

Revised: September 30, 2011

Published: May 2012

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Abstract

We study a system of a nonlinear Klein-Gordon equation coupled with Maxwell's equations. We prove the existence of nonradial solutions which are radially symmetric when restricted to a hyperplane, and either periodic or non-periodic in the orthogonal direction to that very hyperplane.

Keywords:

Klein-Gordon-Maxwell equations,
nonradial solutions.

Mathematics Subject Classification: Primary: 35J47, 35D30; Secondary: 35J91.

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