Solitary waves for nonlinear Klein–Gordon–Maxwell and Schrödinger–Maxwell equations
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- 1 October 2004
- journal article
- research article
- Published by Cambridge University Press (CUP) in Proceedings of the Royal Society of Edinburgh: Section A Mathematics
- Vol. 134 (5) , 893-906
- https://doi.org/10.1017/s030821050000353x
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.Keywords
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