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 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 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 ◽

Author(s):

César E. Torres Ledesma

Keyword(s):

Schrödinger Equation ◽

Schrodinger Equation ◽

Potential Well ◽

Fractional Schrödinger Equation ◽

Concentration Of Solutions ◽

Steep Potential Well ◽

Fractional Schrodinger Equation

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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 ◽

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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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 ◽

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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Ground state solutions for Klein–Gordon–Maxwell system with steep potential well

Applied Mathematics Letters ◽

10.1016/j.aml.2018.11.002 ◽

2019 ◽

Vol 90 ◽

pp. 175-180 ◽

Author(s):

Xiao-Qi Liu ◽

Shang-Jie Chen ◽

Chun-Lei Tang

Keyword(s):

Ground State ◽

Potential Well ◽

Maxwell System ◽

Ground State Solutions ◽

Klein Gordon ◽

Steep Potential Well

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Steep potential well may help Kirchhoff type equations to generate multiple solutions

Nonlinear Analysis ◽

10.1016/j.na.2019.111609 ◽

2020 ◽

Vol 190 ◽

pp. 111609 ◽

Author(s):

Juntao Sun ◽

Tsung-fang Wu

Keyword(s):

Multiple Solutions ◽

Potential Well ◽

Kirchhoff Type ◽

Steep Potential Well

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Lévy Flights in a Steep Potential Well

Journal of Statistical Physics ◽

10.1023/b:joss.0000028067.63365.04 ◽

2004 ◽

Vol 115 (5/6) ◽

pp. 1505-1535 ◽

Author(s):

Aleksei V. Chechkin ◽

Vsevolod Yu. Gonchar ◽

Joseph Klafter ◽

Ralf Metzler ◽

Leonid V. Tanatarov

Keyword(s):

Potential Well ◽

Lévy Flights ◽

Levy Flights ◽

Steep Potential Well

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Existence and concentration of ground states to a critical Choquard‐type equation involving steep potential well

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.7729 ◽

2021 ◽

Author(s):

Huiling Wu

Keyword(s):

Ground States ◽

Type Equation ◽

Potential Well ◽

Steep Potential Well

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