Multiple Solutions for the Klein-Gordon-Maxwell System with Steep Potential Well

被引:4
作者
Liu, Xiao-qi [1 ]
Tang, Chun-lei [1 ]
机构
[1] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China
基金
中国国家自然科学基金; 中国博士后科学基金;
关键词
Klein-Gordon-Maxwell system; steep potential well; multiple solutions; variational methods; GROUND-STATE SOLUTIONS; SOLITARY WAVES; EQUATIONS; EXISTENCE; NONEXISTENCE;
D O I
10.1007/s10255-021-0986-z
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we concern the Klein-Gordon-Maxwell system with steep potential well {-Delta u + (lambda a(x) + 1)u (2 omega +phi)phi u = f(x, u), in R3, -Delta phi = (omega +phi)u(2), in R-3. Without global and local compactness, we can tell the difference of multiple solutions from their norms in L-p(R-3).
引用
收藏
页码:155 / 165
页数:11
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