Asymptotic property of ground states for a class of quasilinear Schrödinger equation with $$H^1$$-critical growth

Calculus of Variations and Partial Differential Equations ◽

10.1007/s00526-019-1527-y ◽

2019 ◽

Vol 58 (3) ◽

Author(s):

Shinji Adachi ◽

Masataka Shibata ◽

Tatsuya Watanabe

Keyword(s):

Schrödinger Equation ◽

Asymptotic Property ◽

Schrodinger Equation ◽

Ground States ◽

Critical Growth ◽

Quasilinear Schrödinger Equation

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Uniqueness of asymptotic limit of ground states for a class of quasilinear Schrödinger equation with H1-critical growth in ℝ3

Applicable Analysis ◽

10.1080/00036811.2020.1757079 ◽

2020 ◽

pp. 1-21

Author(s):

Shinji Adachi ◽

Masataka Shibata ◽

Tatsuya Watanabe

Keyword(s):

Schrödinger Equation ◽

Schrodinger Equation ◽

Ground States ◽

Critical Growth ◽

Asymptotic Limit ◽

Quasilinear Schrödinger Equation

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Existence and concentration result for a quasilinear Schrödinger equation with critical growth

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/s00033-017-0869-6 ◽

2017 ◽

Vol 68 (6) ◽

Author(s):

Liuyang Shao ◽

Haibo Chen

Keyword(s):

Schrödinger Equation ◽

Schrodinger Equation ◽

Critical Growth ◽

Quasilinear Schrödinger Equation ◽

Concentration Result

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Existence of ground state solutions for a quasilinear Schrödinger equation with critical growth

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2014.11.011 ◽

2015 ◽

Vol 69 (2) ◽

pp. 81-88 ◽

Author(s):

Ke Wu ◽

Fen Zhou

Keyword(s):

Schrödinger Equation ◽

Ground State ◽

Schrodinger Equation ◽

Critical Growth ◽

Quasilinear Schrödinger Equation ◽

Ground State Solutions

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Positive Solutions for a Quasilinear Schrödinger Equation with Critical Growth

Journal of Dynamics and Differential Equations ◽

10.1007/s10884-011-9231-4 ◽

2011 ◽

Vol 24 (1) ◽

pp. 13-28 ◽

Author(s):

Giovany M. Figueiredo ◽

Marcelo F. Furtado

Keyword(s):

Schrödinger Equation ◽

Positive Solutions ◽

Schrodinger Equation ◽

Critical Growth ◽

Quasilinear Schrödinger Equation

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Existence of semiclassical states for a quasilinear Schrödinger equation on ℝ N with exponential critical growth

Acta Mathematica Sinica English Series ◽

10.1007/s10114-016-5488-1 ◽

2016 ◽

Vol 32 (11) ◽

pp. 1279-1296 ◽

Author(s):

Shao Jun Li ◽

Carlos A. Santos ◽

Min Bo Yang

Keyword(s):

Schrödinger Equation ◽

Schrodinger Equation ◽

Critical Growth ◽

Quasilinear Schrödinger Equation ◽

Exponential Critical Growth ◽

Semiclassical States

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Ground states of degenerate quasilinear Schrödinger equation with vanishing potentials

Nonlinear Analysis ◽

10.1016/j.na.2019.111587 ◽

2019 ◽

Vol 189 ◽

pp. 111587 ◽

Author(s):

Olimpio H. Miyagaki ◽

Cláudia R. Santana ◽

Rônei S. Vieira

Keyword(s):

Schrödinger Equation ◽

Schrodinger Equation ◽

Ground States ◽

Quasilinear Schrödinger Equation ◽

Vanishing Potentials

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Normalized ground states of the nonlinear Schrödinger equation with at least mass critical growth

Journal of Functional Analysis ◽

10.1016/j.jfa.2021.108989 ◽

2021 ◽

pp. 108989

Author(s):

Bartosz Bieganowski ◽

Jarosław Mederski

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Ground States ◽

Nonlinear Schrodinger Equation ◽

Critical Growth ◽

Nonlinear Schrödinger

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Multiple minimal nodal solutions for a quasilinear Schrödinger equation with symmetric potential

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2004.09.012 ◽

2005 ◽

Vol 304 (1) ◽

pp. 170-188 ◽

Author(s):

Marcelo F. Furtado

Keyword(s):

Schrödinger Equation ◽

Schrodinger Equation ◽

Nodal Solutions ◽

Quasilinear Schrödinger Equation ◽

Symmetric Potential

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Multiplicity of solutions of the bi-harmonic Schrödinger equation with critical growth

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/s00033-018-0940-y ◽

2018 ◽

Vol 69 (2) ◽

Author(s):

Jian Zhang ◽

Zhenluo Lou ◽

Yanju Ji ◽

Wei Shao

Keyword(s):

Schrödinger Equation ◽

Schrodinger Equation ◽

Critical Growth ◽

Multiplicity Of Solutions

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Existence ground state solutions for a quasilinear Schrödinger equation with Hardy potential and Berestycki–Lions type conditions

Applied Mathematics Letters ◽

10.1016/j.aml.2021.107615 ◽

2022 ◽

Vol 123 ◽

pp. 107615

Author(s):

Die Hu ◽

Qi Zhang

Keyword(s):

Schrödinger Equation ◽

Ground State ◽

Schrodinger Equation ◽

Hardy Potential ◽

Quasilinear Schrödinger Equation ◽

Ground State Solutions

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