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.
Keywords: Klein–Gordon–Maxwell system, Positive superquadratic potential, Lagrange multiplier, Nontrivial solutions
@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}, 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://archive.numdam.org/articles/10.1016/j.anihpc.2010.02.001/} }
TY - JOUR AU - Mugnai, Dimitri TI - Solitary waves in Abelian Gauge Theories with strongly nonlinear potentials JO - Annales de l'I.H.P. Analyse non linéaire PY - 2010 SP - 1055 EP - 1071 VL - 27 IS - 4 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.anihpc.2010.02.001/ DO - 10.1016/j.anihpc.2010.02.001 LA - en ID - AIHPC_2010__27_4_1055_0 ER -
%0 Journal Article %A Mugnai, Dimitri %T Solitary waves in Abelian Gauge Theories with strongly nonlinear potentials %J Annales de l'I.H.P. Analyse non linéaire %D 2010 %P 1055-1071 %V 27 %N 4 %I Elsevier %U http://archive.numdam.org/articles/10.1016/j.anihpc.2010.02.001/ %R 10.1016/j.anihpc.2010.02.001 %G en %F 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, Volume 27 (2010) no. 4, pp. 1055-1071. doi : 10.1016/j.anihpc.2010.02.001. http://archive.numdam.org/articles/10.1016/j.anihpc.2010.02.001/
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