Existence and Concentration of Ground State Solutions for Chern-Simons-Schrodinger System with General Nonlinearity

被引：0
作者：
Tan, Jin-Lan [1 ]
Kang, Jin-Cai [1 ]
Tang, Chun-Lei [1 ]
机构：
[1] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China
来源：
MEDITERRANEAN JOURNAL OF MATHEMATICS | 2023年 / 20卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Chern-Simons-Schrodinger system; ground state solution; concentration; variational methods; STANDING WAVES; NORMALIZED SOLUTIONS; EQUATION; MULTIPLICITY;
D O I：
10.1007/s00009-023-02330-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate a class of nonlinear Chern-Simons- Schro spexpressioncing diexpressioneresis dinger system with steep well potential. Under some suitable conditions on the nonlinearity, using the variational methods and the mountain pass theorem, we prove the existence of ground state solutions for lambda > 0 large enough. Furthermore, we verify the asymptotic behavior of ground state solutions as lambda -> +infinity.
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页数：13
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