Position: Home > Articles > The Existence of the Solitary Waves for the Superlinear Klein-Gordon-Maxwell System with the Sign-Changing Potential
Journal of Southwest University(Natural Science Edition)
2018
(5)
89-93
具有变号位势的Klein-Gordon-Maxwell系统孤立波的存在性
作 者：
廖坤;段春生;李麟;陈尚杰
单 位：
西南大学期刊社;中国民航飞行学院计算机学院;重庆工商大学数学与统计学院;经济社会应用统计重庆市重点实验室
关键词：
Klein-Gordon-Maxwell系统;变号位势;局部环绕
摘 要：
研究了超线性的Klein-Gordon-Maxwell系统孤立波的存在性.由于方程是定义在R3上且位势是变号的,对应的能量泛函不满足山路定理的几何条件.利用局部环绕定理,得到了其非平凡解的存在性,改善和补充了已有的结果.
译 名：
The Existence of the Solitary Waves for the Superlinear Klein-Gordon-Maxwell System with the Sign-Changing Potential
作 者：
LIAO Kun;DUAN Chun-sheng;LI Lin;CHEN Shang-jie;Journal Press of Southwest University;College of Computer Science,Civil Aviation Flight College of China;School of Mathematics and Statistics,Chongqing Technology and Business University;Key Laboratory of Economic Society and Applied Statistics;
单 位：
LIAO Kun%DUAN Chun-sheng%LI Lin%CHEN Shang-jie%Journal Press of Southwest University%College of Computer Science,Civil Aviation Flight College of China%School of Mathematics and Statistics,Chongqing Technology and Business University%Key Laboratory of Economic Society and Applied Statistics
关键词：
Klein-Gordon-Maxwell system;;Sign-Changing Potential;;local linking
摘 要：
The existence of the solitary waves for the superlinear Klein-Gordon-Maxwell system is considered in this paper.Because the equation is defined on R3 with a potential indefinite in sign,the variation energy functional does not satisfy the requirements of the mountain pass geometry.Using the local linking theorem,we obtain the existence of a nontrivial solution of it,thus improving and supplementing the existing results.
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