Existence of normalized solutions for the Chern-Simons-Schrödinger system with critical exponential growth

被引：0
|
作者：
Gao, Liu [1 ]
Tan, Zhong [1 ,2 ]
机构：
[1] Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China
[2] Xiamen Univ, Shenzhen Res Inst, Shenzhen 518057, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2024年 / 540卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Chern-Simons-Schr & ouml; dinger system; Normalized solutions; Existence; Critical exponential growth; SCHRODINGER-EQUATIONS; STANDING WAVES;
D O I：
10.1016/j.jmaa.2024.128652
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is dedicated to studying the existence of normalized solutions for a class of Chern-Simons-Schr & ouml;dinger system, where the nonlinearity possesses critical exponential growth of Trudinger-Moser type. Under some weak assumptions, we obtain several new existence results by employing more delicate estimates and analytical technical. Our results improve and complement the works of Yao et al. (2023) [25] and Yuan et al. (2022) [27]. (c) 2024 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.
引用
收藏
页数：24
相关论文
共 50 条
  • [1] Normalized solutions for Chern-Simons-Schrödinger system with critical exponential growth
    Huang, Xianjiu
    Feng, Shenghao
    Chen, Jianhua
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2024, 540 (02)
  • [2] On the Chern-Simons-Schrödinger Equation with Critical Exponential Growth
    Si Tong Chen
    Xian Hua Tang
    Shuai Yuan
    Acta Mathematica Sinica, English Series, 2021, 37 : 1875 - 1895
  • [3] The existence of ground state normalized solutions for Chern-Simons-Schrödinger systems
    Yu Mao
    Xingping Wu
    Chunlei Tang
    Acta Mathematica Scientia, 2023, 43 : 2649 - 2661
  • [4] Two Normalized Solutions for the Chern–Simons–Schrödinger System with Exponential Critical Growth
    Shuai Yao
    Haibo Chen
    Juntao Sun
    The Journal of Geometric Analysis, 2023, 33
  • [5] 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
  • [6] THE EXISTENCE OF GROUND STATE NORMALIZED SOLUTIONS FOR CHERN-SIMONS-SCHR?DINGER SYSTEMS
    毛宇
    吴行平
    唐春雷
    Acta Mathematica Scientia, 2023, 43 (06) : 2649 - 2661
  • [7] Normalized solutions to the Chern-Simons-Schrödinger system under the nonlinear combined effect
    Shuai Yao
    Haibo Chen
    Juntao Sun
    Science China Mathematics, 2023, 66 : 2057 - 2080
  • [8] Normalized solutions to the Chern-Simons-Schr?dinger system under the nonlinear combined effect
    Shuai Yao
    Haibo Chen
    Juntao Sun
    ScienceChina(Mathematics), 2023, 66 (09) : 2057 - 2080
  • [9] Existence, Nonexistence and Multiplicity Results of a Chern-Simons-Schrödinger System
    Aliang Xia
    Acta Applicandae Mathematicae, 2020, 166 : 147 - 159
  • [10] Existence and local uniqueness of multi-peak solutions for the Chern-Simons-Schrödinger system
    Hua, Qiaoqiao
    Wang, Chunhua
    Yang, Jing
    JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2024, 26 (04)
12345