NONRADIAL SOLUTIONS FOR THE KLEIN-GORDON-MAXWELL EQUATIONS

被引：7
|
作者：
Makita, Percy D. [1 ]
机构：
[1] Univ Giessen, Math Inst, D-35392 Giessen, Germany
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2012年 / 32卷 / 06期
关键词：
Klein-Gordon-Maxwell equations; nonradial solutions; CONCENTRATION-COMPACTNESS PRINCIPLE; SOLITARY WAVES; NONEXISTENCE; CALCULUS;
D O I：
10.3934/dcds.2012.32.2271
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study a system of a nonlinear Klein-Gordon equation coupled with Maxwell's equations. We prove the existence of nonradial solutions which are radially symmetric when restricted to a hyperplane, and either periodic or non-periodic in the orthogonal direction to that very hyperplane.
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页码：2271 / 2283
页数：13
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