Uniqueness of the ground state solutions of quasilinear Schrödinger equations

Shinji Adachi; Tatsuya Watanabe

doi:10.1016/j.na.2011.09.015

Uniqueness of the ground state solutions of quasilinear Schrödinger equations

Nonlinear Analysis ◽

10.1016/j.na.2011.09.015 ◽

2012 ◽

Vol 75 (2) ◽

pp. 819-833 ◽

Cited By ~ 44

Author(s):

Shinji Adachi ◽

Tatsuya Watanabe

Keyword(s):

Ground State ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Ground State Solutions

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Nonexistence of ground state solutions for generalized quasilinear Schrödinger equations via dual approach

Journal of Mathematical Physics ◽

10.1063/5.0056781 ◽

2021 ◽

Vol 62 (7) ◽

pp. 071504

Author(s):

Yongtao Jing ◽

Haidong Liu

Keyword(s):

Ground State ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Dual Approach ◽

Ground State Solutions

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Ground state solutions for planar coupled system involving nonlinear Schrödinger equations with critical exponential growth

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.7335 ◽

2021 ◽

Author(s):

Jiuyang Wei ◽

Xiaoyan Lin ◽

Xianhua Tang

Keyword(s):

Ground State ◽

Exponential Growth ◽

Coupled System ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Ground State Solutions ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Critical Exponential Growth

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Ground state solutions for a class of gauged Schrödinger equations with subcritical and critical exponential growth

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.5905 ◽

2019 ◽

Vol 43 (2) ◽

pp. 536-551

Author(s):

Liejun Shen

Keyword(s):

Ground State ◽

Exponential Growth ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Ground State Solutions ◽

Critical Exponential Growth

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Ground state solutions for nonlinear fractional Schrödinger equations in RN

Journal of Mathematical Physics ◽

10.1063/1.4793990 ◽

2013 ◽

Vol 54 (3) ◽

pp. 031501 ◽

Cited By ~ 224

Author(s):

Simone Secchi

Keyword(s):

Ground State ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Ground State Solutions ◽

Fractional Schrödinger Equations ◽

Nonlinear Fractional Schrödinger Equations

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Ground state solutions for periodic discrete nonlinear Schrödinger equations with saturable nonlinearities

Advances in Difference Equations ◽

10.1186/s13662-018-1574-2 ◽

2018 ◽

Vol 2018 (1) ◽

Cited By ~ 2

Author(s):

Luyu Zhang ◽

Shiwang Ma

Keyword(s):

Ground State ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Ground State Solutions ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Discrete Nonlinear Schrödinger Equations

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Ground state solutions for asymptotically periodic linearly coupled Schrödinger equations with critical exponent

Kodai Mathematical Journal ◽

10.2996/kmj/1509415233 ◽

2017 ◽

Vol 40 (3) ◽

pp. 562-576

Author(s):

Sitong Chen ◽

XianHua Tang ◽

Jianxiong Li

Keyword(s):

Critical Exponent ◽

Ground State ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Ground State Solutions ◽

Asymptotically Periodic

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Existence of positive ground state solutions for fractional Schrödinger equations with a general nonlinearity

Applicable Analysis ◽

10.1080/00036811.2017.1307963 ◽

2017 ◽

Vol 97 (7) ◽

pp. 1154-1171 ◽

Cited By ~ 1

Author(s):

Zhisu Liu ◽

Zigen Ouyang

Keyword(s):

Ground State ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Ground State Solutions ◽

Fractional Schrödinger Equations ◽

General Nonlinearity

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Ground state solutions of non-linear singular Schrödinger equations with lack of compactness

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.403 ◽

2003 ◽

Vol 26 (11) ◽

pp. 897-906 ◽

Cited By ~ 10

Author(s):

Mihai Mihǎilescu ◽

Vicenţiu Rǎdulescu

Keyword(s):

Ground State ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Lack Of Compactness ◽

Ground State Solutions ◽

Non Linear

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Non-periodic discrete Schrödinger equations: ground state solutions

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/s00033-016-0665-8 ◽

2016 ◽

Vol 67 (3) ◽

Cited By ~ 5

Author(s):

Guanwei Chen ◽

Martin Schechter

Keyword(s):

Ground State ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Ground State Solutions

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Ground state solutions for asymptotically periodic quasilinear Schrödinger equations with critical growth

Communications on Pure & Applied Analysis ◽

10.3934/cpaa.2018054 ◽

2018 ◽

Vol 17 (3) ◽

pp. 1121-1145

Author(s):

Yanfang Xue ◽

◽

Chunlei Tang ◽

Keyword(s):

Ground State ◽

Critical Growth ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Ground State Solutions ◽

Asymptotically Periodic

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