Radial and non-radial multiple solutions to a general mixed dispersion NLS equation

被引：1
|
作者：
d'Avenia, Pietro [1 ]
Pomponio, Alessio [1 ]
Schino, Jacopo [2 ,3 ]
机构：
[1] Politecn Bari, Dipartimento Matemat Meccan & Management, Via Orabona 4, I-70125 Bari, Italy
[2] North Carolina State Univ, Dept Math, 2311 Stinson Dr, Raleigh, NC 27607 USA
[3] Polish Acad Sci, Inst Math, Ul Sniadeckich 8, PL-00656 Warsaw, Poland
来源：
NONLINEARITY | 2023年 / 36卷 / 03期
关键词：
Bilaplacian; mixed-dispersion Schrodinger equation; standing wave solutions; multiple solutions; positive mass case; zero mass case; radial and non-radial solutions; SCALAR FIELD-EQUATIONS; NONLINEAR SCHRODINGER-EQUATION; 4TH-ORDER ELLIPTIC-EQUATIONS; NORMALIZED SOLUTIONS; NONTRIVIAL SOLUTIONS; ORDER DISPERSION; EXISTENCE; COMPACTNESS; WAVES;
D O I：
10.1088/1361-6544/acb62d
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the following nonlinear Schrodinger equation with a fourth-order dispersion term?(2)u - beta?u = g(u) in R(N)in the positive and zero mass regimes: in the former, N >= 2 and beta > -2 root m, where m > 0 depends on g; in the latter, N >= 3 and beta > 0. In either regimes, we find an infinite sequence of solutions under rather generic assumptions about g; if N = 2 in the positive mass case, or N =4 in the zero mass case, we need to strengthen such assumptions. Our approach is variational.
引用
收藏
页码：1743 / 1775
页数：33
相关论文
共 50 条
  • [1] Infinitely many radial and non-radial solutions for a fractional Schrodinger equation
    Zhang, Wen
    Tang, Xianhua
    Zhang, Jian
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2016, 71 (03) : 737 - 747
  • [2] Infinitely many radial and non-radial solutions to a quasilinear Schrodinger equation
    Yang, Xianyong
    Wang, Wenbo
    Zhao, Fukun
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2015, 114 : 158 - 168
  • [3] Scattering for the non-radial inhomogenous biharmonic NLS equation
    Campos, Luccas
    Guzman, Carlos M.
    CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2022, 61 (04)
  • [4] RADIAL AND NON-RADIAL SOLUTIONS FOR A NONLINEAR SCHRODINGER EQUATION WITH A CONSTRAINT
    Yang, Jiaxuan
    Li, Yongqing
    Wang, Zhi-Qiang
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, : 225 - 237
  • [5] Scattering for the non-radial inhomogeneous NLS
    Miao, Changxing
    Murphy, Jason
    Zheng, Jiqiang
    MATHEMATICAL RESEARCH LETTERS, 2021, 28 (05) : 1481 - 1504
  • [6] Blow-up of non-radial solutions for the L2 critical inhomogeneous NLS equation
    Cardoso, Mykael
    Farah, Luiz Gustavo
    NONLINEARITY, 2022, 35 (08) : 4426 - 4436
  • [7] Infinitely many non-radial solutions for a Choquard equation
    Gao, Fashun
    Yang, Minbo
    ADVANCES IN NONLINEAR ANALYSIS, 2022, 11 (01) : 1085 - 1096
  • [8] Non-radial solutions for the fractional Henon equation with critical exponent
    Guo, Yuxia
    Hu, Yichen
    Liu, Ting
    CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2022, 61 (05)
  • [9] Multiple non-radial solutions for coupled Schrödinger equations
    Huang, Xiaopeng
    Li, Haoyu
    Wang, Zhi-Qiang
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2024, 412 : 1 - 22
  • [10] Dynamics of the Non-radial Energy-critical Inhomogeneous NLS
    Guzman, Carlos M.
    Xu, Chengbin
    POTENTIAL ANALYSIS, 2024,
12345