JournalsaihpcVol. 27, No. 4pp. 1055–1071

Solitary waves in Abelian Gauge Theories with strongly nonlinear potentials

  • Dimitri Mugnai

    Dipartimento di Matematica e Informatica, Università di Perugia, Via Vanvitelli 1, 06123 Perugia, Italy
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Abstract

We study the existence of radially symmetric solitary waves for a system of a nonlinear Klein–Gordon equation coupled with Maxwell's equation in presence of a positive mass. The nonlinear potential appearing in the system is assumed to be positive and with more than quadratical growth at infinity.

Cite this article

Dimitri Mugnai, Solitary waves in Abelian Gauge Theories with strongly nonlinear potentials. Ann. Inst. H. Poincaré Anal. Non Linéaire 27 (2010), no. 4, pp. 1055–1071

DOI 10.1016/J.ANIHPC.2010.02.001