Positive Solutions and Infinitely Many Solutions for a Weakly Coupled System

被引：3
|
作者：
Duan, Xueliang [1 ]
Wei, Gongming [2 ]
Yang, Haitao [1 ]
机构：
[1] Zhejiang Univ, Sch Math Sci, Hangzhou 310027, Peoples R China
[2] Univ Shanghai Sci & Technol, Coll Sci, Shanghai 200093, Peoples R China
来源：
ACTA MATHEMATICA SCIENTIA | 2020年 / 40卷 / 05期
关键词：
coupled Schrodinger system; ground state solution; infinitely many solutions; concentration compactness principle; SCHRODINGER SYSTEMS; SOLITARY WAVES; GROUND-STATES; EQUATIONS;
D O I：
10.1007/s10473-020-0523-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study a Schrodinger system with the sum of linear and nonlinear couplings. Applying index theory, we obtain infinitely many solutions for the system with periodic potentials. Moreover, by using the concentration compactness method, we prove the existence and nonexistence of ground state solutions for the system with close-to-periodic potentials.
引用
收藏
页码：1585 / 1601
页数：17
相关论文
共 50 条
  • [21] INFINITELY MANY RADIAL SOLUTIONS OF AN ELLIPTIC SYSTEM
    TERMAN, D
    ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 1987, 4 (06): : 549 - 604
  • [22] Infinitely many radial solutions of an elliptic system
    Terman, D.
    Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire, 1987, 4 (06): : 549 - 604
  • [23] INFINITELY MANY SEGREGATED SOLUTIONS FOR COUPLED NONLINEAR SCHRODINGER SYSTEMS
    Wang, Lushun
    Yang, Minbo
    Zheng, Yu
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2019, 39 (10) : 6069 - 6102
  • [24] INFINITELY MANY POSITIVE SOLUTIONS FOR A CLASS OF SEMILINEAR ELLIPTIC EQUATIONS
    Chen, Hong-ge
    Zhang, J. I. A. O. J. I. A. O.
    Zhao, J. I. E.
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2022, : 5909 - 5935
  • [25] INFINITELY MANY POSITIVE SOLUTIONS OF FRACTIONAL BOUNDARY VALUE PROBLEMS
    Ge, Bin
    Radulescu, Vicentiu D.
    Zhang, Ji-Chun
    TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2017, 49 (02) : 647 - 664
  • [26] Infinitely many positive solutions of nonlinear Schrödinger equations
    Riccardo Molle
    Donato Passaseo
    Calculus of Variations and Partial Differential Equations, 2021, 60
  • [27] Infinitely many positive solutions for the nonlinear Schrodinger equations in RN
    Wei, Juncheng
    Yan, Shusen
    CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2010, 37 (3-4) : 423 - 439
  • [28] Infinitely many positive solutions for Kirchhoff equations with competing coefficients
    Tingxi Hu
    Lu Lu
    Zeitschrift für angewandte Mathematik und Physik, 2019, 70
  • [29] Infinitely many positive solutions for Kirchhoff-type problems
    He, Xiaoming
    Zou, Wenming
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (03) : 1407 - 1414
  • [30] Infinitely many solutions to boundary value problems for a coupled system of fractional differential equations
    Li, Peiluan
    Wang, Hui
    Li, Zheqing
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (05): : 3433 - 3444
12345