Solitary waves in Abelian Gauge Theories with strongly nonlinear potentials

Mugnai, Dimitri

doi:10.1016/j.anihpc.2010.02.001

Mugnai, Dimitri

Annales de l'I.H.P. Analyse non linéaire, Tome 27 (2010) no. 4, pp. 1055-1071.

Résumé

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.

MR Zbl

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},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     pages = {1055--1071},
     publisher = {Elsevier},
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     zbl = {1194.35378},
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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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Wei, Chongqing; Li, Anran Existence and multiplicity of solutions for Klein–Gordon–Maxwell systems with sign-changing potentials, Advances in Difference Equations, Volume 2019 (2019) no. 1 | DOI:10.1186/s13662-019-2020-9
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