数学物理学报(英文版) ›› 2022, Vol. 42 ›› Issue (3): 1125-1140.doi: 10.1007/s10473-022-0318-2

• 论文 • 上一篇    下一篇

THE EXISTENCE AND CONCENTRATION OF GROUND STATE SOLUTIONS FOR CHERN-SIMONS-SCHRÖDINGER SYSTEMS WITH A STEEP WELL POTENTIAL

谭金岚, 李勇勇, 唐春雷   

  1. School of Mathematics and Statistics, Southwest University, Chongqing, 400715, China
  • 收稿日期:2020-12-11 发布日期:2022-06-24
  • 通讯作者: Chunlei TANG,E-mail:tangcl@swu.edu.cn E-mail:tangcl@swu.edu.cn
  • 基金资助:
    The third author was supported by National Natural Science Foundation of China (11971393).

THE EXISTENCE AND CONCENTRATION OF GROUND STATE SOLUTIONS FOR CHERN-SIMONS-SCHRÖDINGER SYSTEMS WITH A STEEP WELL POTENTIAL

Jinlan TAN, Yongyong LI, Chunlei TANG   

  1. School of Mathematics and Statistics, Southwest University, Chongqing, 400715, China
  • Received:2020-12-11 Published:2022-06-24
  • Contact: Chunlei TANG,E-mail:tangcl@swu.edu.cn E-mail:tangcl@swu.edu.cn
  • Supported by:
    The third author was supported by National Natural Science Foundation of China (11971393).

摘要: In this paper, we investigate a class of nonlinear Chern-Simons-Schrödinger 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 λ > 0 large enough. Furthermore, we verify the asymptotic behavior of ground state solutions as λ → +∞.

关键词: Chern-Simons-Schrödinger system, steep well potential, ground state solution, concentration

Abstract: In this paper, we investigate a class of nonlinear Chern-Simons-Schrödinger 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 λ > 0 large enough. Furthermore, we verify the asymptotic behavior of ground state solutions as λ → +∞.

Key words: Chern-Simons-Schrödinger system, steep well potential, ground state solution, concentration

中图分类号: 

  • 35A01