Multi-peak solutions to the Schrodinger equations coupled with a neutral scalar field

被引:0
|
作者
Cao, Daomin [1 ,2 ]
Lai, Shanfa [1 ,2 ]
Yu, Weilin [3 ,4 ]
机构
[1] Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
[2] Univ Chinese Acad Sci, Beijing 100049, Peoples R China
[3] Yanqi Lake Beijing Inst Math Sci & Applicat, Beijing 101408, Peoples R China
[4] Tsinghua Univ, Yau Math Sci Ctr, Beijing 100084, Peoples R China
基金
国家重点研发计划;
关键词
CHERN-SIMONS; POSITIVE SOLUTIONS; MULTIPLICITY; EXISTENCE; VORTICES;
D O I
10.1063/5.0121726
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In this paper, we consider the problem of Schrodinger equation coupled with a neutral scalar field. By constructing solutions with multiple peaks, we prove that the number of non-radial solutions of this problem goes to infinity as the Maxwell coupling constant tends to infinity. The Chern-Simons limit of those solutions is also discussed.
引用
收藏
页数:17
相关论文
共 50 条
  • [1] Multi-peak solutions for a class of nonlinear Schrodinger equations
    Pistoia, A
    NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2002, 9 (01): : 69 - 91
  • [2] Multi-Peak Solutions for Coupled Nonlinear Schrodinger Systems in Low Dimensions
    Zhen, Maoding
    Zhang, Binlin
    Radulescu, Vicentiu D.
    APPLIED MATHEMATICS AND OPTIMIZATION, 2023, 88 (01):
  • [3] Multi-peak solutions to coupled Schrodinger systems with Neumann boundary conditions
    Tang, Zhongwei
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2014, 409 (02) : 684 - 704
  • [4] INFINITELY MANY SOLUTIONS FOR A CLASS OF FRACTIONAL SCHRODINGER EQUATIONS COUPLED WITH NEUTRAL SCALAR FIELD
    Shen, Liejun
    Squassina, Marco
    Zeng, Xiaoyu
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2024,
  • [5] Multi-peak positive solutions for nonlinear Schrodinger equations with critical frequency
    Sato, Yohei
    CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2007, 29 (03) : 365 - 395
  • [6] Local uniqueness of multi-peak solutions to a class of Schrodinger equations with competing potential
    Niu, Yahui
    Tian, Shuying
    Yang, Pingping
    JOURNAL OF MATHEMATICAL PHYSICS, 2023, 64 (03)
  • [7] Multi-peak bound states for nonlinear Schrodinger equations
    Departamento de Matematicas, Fac. de Ciencias, Universidad de Chile, Casilla 653, Santiago I, Chile
    不详
    Annales de l'Institut Henri Poincare. Annales: Analyse Non Lineaire/Nonlinear Analysis, 15 (02): : 127 - 149
  • [8] Multi-peak bound states for nonlinear Schrodinger equations
    Del Pino, M
    Felmer, PL
    ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 1998, 15 (02): : 127 - 149
  • [9] Chern-Simons limit of the standing wave solutions for the Schrodinger equations coupled with a neutral scalar field
    Han, Jongmin
    Huh, Hyungjin
    Seok, Jinmyoung
    JOURNAL OF FUNCTIONAL ANALYSIS, 2014, 266 (01) : 318 - 342
  • [10] Chern-Simons limit of ground state solutions for the Schrodinger equations coupled with a neutral scalar field
    Kang, Jin-Cai
    Liu, Xiao-Qi
    Tang, Chun-Lei
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2023, 343 : 152 - 185