Geodesic
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

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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
Keywords: Klein–Gordon–Maxwell system, Positive superquadratic potential, Lagrange multiplier, Nontrivial solutions 
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     author = {Mugnai, Dimitri},
     title = {Solitary waves in {Abelian} {Gauge} {Theories} with strongly nonlinear potentials},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     pages = {1055--1071},
     publisher = {Elsevier},
     volume = {27},
     number = {4},
     year = {2010},
     doi = {10.1016/j.anihpc.2010.02.001},
     mrnumber = {2659157},
     zbl = {1194.35378},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1016/j.anihpc.2010.02.001/}
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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

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