Multiplicity of Solutions for a Nonlinear Klein-Gordon-Maxwell System

被引：61
作者：
He, Xiaoming [1 ]
机构：
[1] Minzu Univ China, Coll Sci, Beijing 100081, Peoples R China
来源：
ACTA APPLICANDAE MATHEMATICAE | 2014年 / 130卷 / 01期
关键词：
Klein-Gordon-Maxwell equation; Large energy solutions; Variational methods; SOLITARY WAVES; EXISTENCE; NONEXISTENCE;
D O I：
10.1007/s10440-013-9845-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we study the nonlinear Klein-Gordon-Maxwell system {-Delta u + V(x)u - (2 omega + phi)phi u = f(x, u), x is an element of R-3, Delta phi = (omega + phi)u(2), x is an element of R-3. By means of a variant fountain theorem and the symmetric mountain pass theorem, we obtain the existence of infinitely many large energy solutions.
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页码：237 / 250
页数：14
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