Solitary waves in Abelian Gauge Theories with strongly nonlinear potentials
Annales de l'I.H.P. Analyse non linéaire, Tome 27 (2010) no. 4, pp. 1055-1071.

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.

DOI : 10.1016/j.anihpc.2010.02.001
Classification : 35J50, 81T13
Mots-clés : Klein–Gordon–Maxwell system, Positive superquadratic potential, Lagrange multiplier, Nontrivial solutions 
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     title = {Solitary waves in {Abelian} {Gauge} {Theories} with strongly nonlinear potentials},
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Mugnai, Dimitri. Solitary waves in Abelian Gauge Theories with strongly nonlinear potentials. Annales de l'I.H.P. Analyse non linéaire, Tome 27 (2010) no. 4, pp. 1055-1071. doi : 10.1016/j.anihpc.2010.02.001. https://www.numdam.org/articles/10.1016/j.anihpc.2010.02.001/

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