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

共 50 条

[41] Existence of bound state solutions for the generalized Chern-Simons-Schrodinger system in H1(R2)
Liang, Wenning
Zhai, Chengbo
APPLIED MATHEMATICS LETTERS, 2020, 100 (100)
[42] The existence of ground state solutions for semi-linear degenerate Schrodinger equations with steep potential well
Ran, Ling
Chen, Shang-Jie
Li, Lin
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2022, (30) : 1 - 15
[43] GROUND STATE SOLUTIONS FOR THE CHERN-SIMONS- SCHRODINGER EQUATION WITH ZERO MASS POTENTIAL
Chen, Sitong
Tang, Xianhua
Zhang, Ning
DIFFERENTIAL AND INTEGRAL EQUATIONS, 2022, 35 (11-12) : 767 - 794
[44] Reduction of Chern-Simons-Schrodinger Systems in One Space Dimension
Huh, Hyungjin
JOURNAL OF APPLIED MATHEMATICS, 2013,
[45] ON THE UNCONDITIONAL UNIQUENESS OF SOLUTIONS TO THE INFINITE RADIAL CHERN-SIMONS-SCHRODINGER HIERARCHY
Chen, Xuwen
Smith, Paul
ANALYSIS & PDE, 2014, 7 (07): : 1683 - 1712
[46] Sign-changing solutions for the nonlinear Chern-Simons-Schrodinger equations
Xie, Weihong
Chen, Chen
APPLICABLE ANALYSIS, 2020, 99 (05) : 880 - 898
[47] STANDING WAVE SOLUTIONS FOR THE GENERALIZED MODIFIED CHERN-SIMONS-SCHRODINGER SYSTEM
Zhu, Chuanxi
Xiao, Yingying
Chen, Jianhua
Xie, Li
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2022, 12 (06): : 2163 - 2183
[48] Normalized solutions of Chern-Simons-Schrodinger equations with exponential critical growth
Yuan, Shuai
Tang, Xianhua
Chen, Sitong
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2022, 516 (02)
[49] NORMALIZED SOLUTIONS FOR THE CHERN-SIMONS-SCHRODINGER EQUATION IN R2
Li, Gongbao
Luo, Xiao
ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA, 2017, 42 (01) : 405 - 428
[50] The existence of ground state normalized solutions for Chern-Simons-Schrödinger systems
Mao, Yu
Wu, Xingping
Tang, Chunlei
ACTA MATHEMATICA SCIENTIA, 2023, 43 (06) : 2649 - 2661

← 1 2 3 4 5 →