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.
@article{AIHPC_2010__27_4_1055_0, 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}, volume = {27}, year = {2010}, pages = {1055-1071}, doi = {10.1016/j.anihpc.2010.02.001}, mrnumber = {2659157}, zbl = {1194.35378}, language = {en}, url = {http://dml.mathdoc.fr/item/AIHPC_2010__27_4_1055_0} }
Mugnai, Dimitri. Solitary waves in Abelian Gauge Theories with strongly nonlinear potentials. Annales de l'I.H.P. Analyse non linéaire, Tome 27 (2010) pp. 1055-1071. doi : 10.1016/j.anihpc.2010.02.001. http://gdmltest.u-ga.fr/item/AIHPC_2010__27_4_1055_0/
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