NONRADIAL SOLUTIONS FOR THE KLEIN-GORDON-MAXWELL EQUATIONS

被引：8

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.

引用

页码：2271 / 2283

页数：13

共 13 条

[1]

Ambrosetti A., 1973, Journal of Functional Analysis, V14, P349, DOI 10.1016/0022-1236(73)90051-7

[2] Concentration and compactness in nonlinear Schrodinger-Poisson system with a general nonlinearity [J].