Solitary waves for nonlinear Klein–Gordon equations coupled with Born–Infeld theory
Annales de l'I.H.P. Analyse non linéaire, Tome 27 (2010) no. 1, pp. 351-376.

We consider the nonlinear Klein–Gordon equations coupled with the Born–Infeld theory under the electrostatic solitary wave ansatz. The existence of the least-action solitary waves is proved in both bounded smooth domain case and 3 case. In particular, for bounded smooth domain case, we study the asymptotic behaviors and profiles of the positive least-action solitary waves with respect to the frequency parameter ω. We show that when κ and ω are suitably large, the least-action solitary waves admit only one local maximum point. When ω, the point-condensation phenomenon occurs if we consider the normalized least-action solitary waves.

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     author = {Yu, Yong},
     title = {Solitary waves for nonlinear {Klein{\textendash}Gordon} equations coupled with {Born{\textendash}Infeld} theory},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     pages = {351--376},
     publisher = {Elsevier},
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     doi = {10.1016/j.anihpc.2009.11.001},
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     zbl = {1184.35286},
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     url = {http://archive.numdam.org/articles/10.1016/j.anihpc.2009.11.001/}
}
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Yu, Yong. Solitary waves for nonlinear Klein–Gordon equations coupled with Born–Infeld theory. Annales de l'I.H.P. Analyse non linéaire, Tome 27 (2010) no. 1, pp. 351-376. doi : 10.1016/j.anihpc.2009.11.001. http://archive.numdam.org/articles/10.1016/j.anihpc.2009.11.001/

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