Solitary waves for nonlinear Klein–Gordon–Maxwell and Schrödinger–Maxwell equations

Solitary waves for nonlinear Klein–Gordon–Maxwell and Schrödinger–Maxwell equations
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DOI:
10.1017/s030821050000353x
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发表时间:
2004-10
期刊:
Proceedings of the Royal Society of Edinburgh: Section A Mathematics
影响因子:
--
通讯作者:
T. D’Aprile;Dimitri Mugnai
T. D’Aprile;Dimitri Mugnai
中科院分区:
其他
文献类型:
--
作者:
T. D’Aprile;Dimitri Mugnai

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本文研究了非线性Klein-Gordon方程和与麦克斯韦方程耦合的非线性薛定谔方程的径向对称孤波的存在性。该方法依赖于一个变分的方法和解决方案获得的山路临界点相关联的能量泛函。
In this paper we study the existence of radially symmetric solitary waves for nonlinear Klein–Gordon equations and nonlinear Schrödinger equations coupled with Maxwell equations. The method relies on a variational approach and the solutions are obtained as mountain-pass critical points for the associated energy functional.