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.

引用

页码：1125 / 1140

页数：16

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