The Existence and Concentration of Ground State Solutions for Chern-Simons-schrodinger Systems with a Steep Well Potential

被引：7
|
作者：
Tan, Jinlan [1 ]
Li, Yongyong [1 ]
Tang, Chunlei [1 ]
机构：
[1] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China
来源：
ACTA MATHEMATICA SCIENTIA | 2022年 / 42卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Chern-Simons-Schrodinger system; steep well potential; ground state solution; concentration; STANDING WAVES; NORMALIZED SOLUTIONS; EQUATION;
D O I：
10.1007/s10473-022-0318-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we investigate a class of nonlinear Chern-Simons-Schrodinger systems with a steep well potential. By using variational methods, the mountain pass theorem and Nehari manifold methods, we prove the existence of a ground state solution for lambda > 0 large enough. Furthermore, we verify the asymptotic behavior of ground state solutions as lambda -> +infinity.
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页码：1125 / 1140
页数：16
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