# American Institute of Mathematical Sciences

June  2012, 32(6): 2271-2283. doi: 10.3934/dcds.2012.32.2271

## Nonradial solutions for the Klein-Gordon-Maxwell equations

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

Received  April 2011 Revised  October 2011 Published  February 2012

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.
Citation: Percy D. Makita. Nonradial solutions for the Klein-Gordon-Maxwell equations. Discrete & Continuous Dynamical Systems, 2012, 32 (6) : 2271-2283. doi: 10.3934/dcds.2012.32.2271
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