Existence and concentration of solutions for Schrödinger-Poisson system with steep potential well

Wen Zhang; Xianhua Tang; Jian Zhang

doi:10.1002/mma.3712

Existence and concentration of solutions for Schrödinger-Poisson system with steep potential well

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.3712 ◽

2015 ◽

Vol 39 (10) ◽

pp. 2549-2557

Author(s):

Wen Zhang ◽

Xianhua Tang ◽

Jian Zhang

Keyword(s):

Potential Well ◽

Poisson System ◽

Concentration Of Solutions ◽

Steep Potential Well

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Existence and concentration of solutions to the Gross–Pitaevskii equation with steep potential well

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/s00033-021-01510-0 ◽

2021 ◽

Vol 72 (2) ◽

Author(s):

Huifang Jia ◽

Xiao Luo

Keyword(s):

Pitaevskii Equation ◽

Potential Well ◽

Concentration Of Solutions ◽

Steep Potential Well

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Existence and concentration of solutions for a non-linear fractional Schrödinger equation with steep potential well

Communications on Pure and Applied Analysis ◽

10.3934/cpaa.2016.15.535 ◽

2016 ◽

Vol 15 (2) ◽

pp. 535-547 ◽

Cited By ~ 5

Author(s):

César E. Torres Ledesma

Keyword(s):

Schrödinger Equation ◽

Schrodinger Equation ◽

Potential Well ◽

Fractional Schrödinger Equation ◽

Concentration Of Solutions ◽

Non Linear ◽

Steep Potential Well ◽

Fractional Schrodinger Equation

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An eigenvalue problem for nonlinear Schrödinger-Poisson system with steep potential well

10.22541/au.159824522.24745834 ◽

2020 ◽

Author(s):

Kuan Hsiang Wang

Keyword(s):

Eigenvalue Problem ◽

Potential Well ◽

Poisson System ◽

Nonlinear Schrödinger ◽

Steep Potential Well

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Multiplicity and concentration of solutions for fractional Schrödinger equation with sublinear perturbation and steep potential well

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2016.07.033 ◽

2016 ◽

Vol 72 (6) ◽

pp. 1629-1640 ◽

Cited By ~ 12

Author(s):

Liu Yang ◽

Zhisu Liu

Keyword(s):

Schrödinger Equation ◽

Schrodinger Equation ◽

Potential Well ◽

Fractional Schrödinger Equation ◽

Concentration Of Solutions ◽

Steep Potential Well ◽

Sublinear Perturbation ◽

Fractional Schrodinger Equation

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An eigenvalue problem for nonlinear Schrödinger-Poisson system with steep potential well

Communications on Pure & Applied Analysis ◽

10.3934/cpaa.2021030 ◽

2021 ◽

Vol 20 (4) ◽

pp. 1497

Author(s):

Kuan-Hsiang Wang

Keyword(s):

Eigenvalue Problem ◽

Potential Well ◽

Poisson System ◽

Nonlinear Schrödinger ◽

Steep Potential Well

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Existence and concentration of ground state solutions for critical Schrödinger–Poisson system with steep potential well

Applied Mathematics and Computation ◽

10.1016/j.amc.2020.125035 ◽

2020 ◽

Vol 374 ◽

pp. 125035

Author(s):

Li-Feng Yin ◽

Xing-Ping Wu ◽

Chun-Lei Tang

Keyword(s):

Ground State ◽

Potential Well ◽

Poisson System ◽

Ground State Solutions ◽

Steep Potential Well

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Schrödinger–Poisson system with steep potential well

Journal of Differential Equations ◽

10.1016/j.jde.2011.05.006 ◽

2011 ◽

Vol 251 (3) ◽

pp. 582-608 ◽

Cited By ~ 79

Author(s):

Yongsheng Jiang ◽

Huan-Song Zhou

Keyword(s):

Potential Well ◽

Poisson System ◽

Steep Potential Well

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Existence and concentration behavior of solutions to Kirchhoff type equation with steep potential well and critical growth

Journal of Mathematical Physics ◽

10.1063/5.0028510 ◽

2021 ◽

Vol 62 (1) ◽

pp. 011506

Author(s):

Jian Zhang ◽

Zhenluo Lou

Keyword(s):

Type Equation ◽

Critical Growth ◽

Potential Well ◽

Kirchhoff Type ◽

Kirchhoff Type Equation ◽

Steep Potential Well ◽

Concentration Behavior

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Concentration behavior of solutions for quasilinear elliptic equations with steep potential well

Proceedings - Mathematical Sciences ◽

10.1007/s12044-021-00650-7 ◽

2022 ◽

Vol 132 (1) ◽

Author(s):

Jianhua Chen ◽

Xianjiu Huang ◽

Pingying Ling

Keyword(s):

Elliptic Equations ◽

Quasilinear Elliptic Equations ◽

Potential Well ◽

Steep Potential Well ◽

Concentration Behavior ◽

Quasilinear Elliptic

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Ground state of solutions for a class of fractional Schrödinger equations with critical Sobolev exponent and steep potential well

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.4527 ◽

2017 ◽

Vol 40 (18) ◽

pp. 7255-7266 ◽

Cited By ~ 1

Author(s):

Liuyang Shao ◽

Haibo Chen

Keyword(s):

Ground State ◽

Critical Sobolev Exponent ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Potential Well ◽

Fractional Schrödinger Equations ◽

Steep Potential Well ◽

Sobolev Exponent

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