Multiple non-radial solutions for coupled Schrödinger equations

被引:0
|
作者
Huang, Xiaopeng [1 ]
Li, Haoyu [2 ]
Wang, Zhi-Qiang [1 ,3 ]
机构
[1] Fujian Normal Univ, Coll Math & Stat, Fuzhou 350117, Fujian, Peoples R China
[2] Univ Fed Sao Carlos, Dept Matemat, BR-13565905 Sao Carlos, SP, Brazil
[3] Utah State Univ, Dept Math & Stat, Logan, UT 84322 USA
基金
巴西圣保罗研究基金会;
关键词
Coupled Schr & ouml; dinger equations; Non-radial solutions; Zp index theory; NONLINEAR SCHRODINGER-EQUATIONS; BOUND-STATES; NODAL SOLUTIONS; GROUND-STATES; SYSTEM; SYMMETRY; WAVES;
D O I
10.1016/j.jde.2024.08.008
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The paper deals with the existence of non-radial solutions for an N-coupled nonlinear elliptic system. In the repulsive regime with some structure conditions on the coupling and for each symmetric subspace of rotation symmetry, we prove the existence of an infinite sequence of non-radial positive solutions and an infinite sequence of non-radial nodal solutions. (c) 2024 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.
引用
收藏
页码:1 / 22
页数:22
相关论文
共 50 条
  • [21] Infinitely many new solutions for singularly perturbed Schrödinger equations
    Li, Benniao
    Long, Wei
    Yang, Jianfu
    NONLINEARITY, 2025, 38 (01)
  • [22] GLOBAL SOLUTIONS FOR A CLASS OF NONLINEAR SCHRDINGER EQUATIONS
    梅茗
    Chinese Science Bulletin, 1991, (18) : 1578 - 1578
  • [23] Infinitely Many Solutions for Schrödinger-Poisson Systems and Schrödinger-Kirchhoff Equations
    Liu, Shibo
    MATHEMATICS, 2024, 12 (14)
  • [24] Superposition solitons for the mixed 4-coupled nonlinear Schrödinger equations
    Zhang, LingLing
    Ye, XueWei
    PHYSICA SCRIPTA, 2024, 99 (06)
  • [25] Solitons in a coupled system of fractional nonlinear Schrödinger equations
    Zeng, Liangwei
    Belic, Milivoj R.
    Mihalache, Dumitru
    Li, Jiawei
    Xiang, Dan
    Zeng, Xuanke
    Zhu, Xing
    PHYSICA D-NONLINEAR PHENOMENA, 2023, 456
  • [26] Existence of non-radial solutions of an elliptic system
    Lou, Zhenluo
    APPLIED MATHEMATICS LETTERS, 2017, 68 : 157 - 162
  • [27] On the hyperbolic nonlinear Schrödinger equations
    Saut, Jean-Claude
    Wang, Yuexun
    ADVANCES IN CONTINUOUS AND DISCRETE MODELS, 2024, 2024 (01):
  • [28] Normalized solutions for Schrödinger equations with potentials and general nonlinearities
    Liu, Yanyan
    Zhao, Leiga
    CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2024, 63 (04)
  • [29] Exact solutions and reductions of nonlinear Schrödinger equations with delay
    Polyanin, Andrei D.
    Kudryashov, Nikolay A.
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2025, 462
  • [30] On radial positive normalized solutions of the Nonlinear Schrödinger equation in an annulus
    Liang, Jian
    Song, Linjie
    NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2024, 31 (02):