Normalized solutions for Chern-Simons-Schrodinger system with mixed dispersion and critical exponential growth

被引：0
|
作者：
Wei, Chenlu [1 ]
Wen, Lixi [2 ]
机构：
[1] Cent South Univ, Sch Math & Stat, HNP LAMA, Changsha, Peoples R China
[2] Changsha Univ Sci & Technol, Sch Math & Stat, Changsha 410114, Hunan, Peoples R China
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2025年 / 48卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Chern-Simons-Schrodinger system; critical exponential growth; normalized solution; Trudinger-Moser inequality; STANDING WAVES; EQUATION; EXISTENCE; INEQUALITIES;
D O I：
10.1002/mma.10383
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper focuses on the existence of normalized solutions for the Chern-Simons-Schrodinger system with mixed dispersion and critical exponential growth. These solutions correspond to critical points of the underlying energy functional under the L-2-norm constraint, namely, integral(R2)u(2)dx = c>0. Under certain mild assumptions, we establish the existence of nontrivial solutions by developing new mathematical strategies and analytical techniques for the given system. These results extend and improve the results in the existing literature.
引用
收藏
页码：1256 / 1280
页数：25
相关论文
共 50 条
  • [41] Ground state solutions for the Chern-Simons-Schrodinger equations with general nonlinearity
    Zhang, Ning
    Tang, Xianhua
    Chen, Zhi
    Qin, Lei
    COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2020, 65 (08) : 1394 - 1411
  • [42] Energy Solution to the Chern-Simons-Schrodinger Equations
    Huh, Hyungjin
    ABSTRACT AND APPLIED ANALYSIS, 2013,
  • [43] Existence and multiplicity of solutions for asymptotically 3-linear Chern-Simons-Schrodinger systems
    Mao, Yu
    Wu, Xing-Ping
    Tang, Chun-Lei
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2021, 498 (01)
  • [44] Multiple Solutions for the Chern-Simons-Schrodinger Equation with Indefinite Nonlinearities in R2
    Jiang, Liting
    Che, Guofeng
    Wu, Tsung-fang
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2024, 21 (07)
  • [45] A multiplicity result for Chern-Simons-Schrodinger equation with a general nonlinearity
    Cunha, Patricia L.
    d'Avenia, Pietro
    Pomponio, Alessio
    Siciliano, Gaetano
    NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2015, 22 (06): : 1831 - 1850
  • [46] Adiabatic Limit and the Slow Motion of Vortices in a Chern-Simons-Schrodinger System
    Demoulini, Sophia
    Stuart, David
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2009, 290 (02) : 597 - 632
  • [47] Sign-changing Solutions for the Chern-Simons-Schrodinger Equation with Concave-convex Nonlinearities
    Liu, Zhi-Fang
    Tang, Chun-Lei
    QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2022, 21 (03)
  • [48] MULTI-PEAK SOLUTIONS TO CHERN-SIMONS-SCHRODINGER SYSTEMS WITH NON-RADIAL POTENTIAL
    Deng, Jin
    Long, Wei
    Yang, Jianfu
    DIFFERENTIAL AND INTEGRAL EQUATIONS, 2023, 36 (9-10) : 813 - 836
  • [49] Normalized solutions for a coupled Schrodinger systems in R2 with exponential critical growth: Mass super-critical case
    Deng, Shengbing
    Huang, Ling
    Zhang, Jianjun
    Zhong, Xuexiu
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2024, 411 : 349 - 380
  • [50] Normalized ground state solutions for the Schrodinger systems with critical exponential growth in R2
    Chen, Jing
    Xie, Zheng
    Zhang, Xinghua
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2024, 540 (01)
12345