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

Jian Zhang; Zhenluo Lou; Yanju Ji; Wei Shao

doi:10.1007/s00033-018-0940-y

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) ◽

Cited By ~ 6

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 and multiplicity of solutions for Schrödinger equation with inverse square potential and Hardy–Sobolev critical exponent

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2018.10.002 ◽

2019 ◽

Vol 46 ◽

pp. 525-544 ◽

Cited By ~ 1

Author(s):

Cong Wang ◽

Yan-Ying Shang

Keyword(s):

Schrödinger Equation ◽

Critical Exponent ◽

Schrodinger Equation ◽

Multiplicity Of Solutions ◽

Existence And Multiplicity ◽

Sobolev Critical Exponent

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Multiple high energy solutions for fractional Schrödinger equation with critical growth

Calculus of Variations and Partial Differential Equations ◽

10.1007/s00526-021-02122-2 ◽

2021 ◽

Vol 61 (1) ◽

Author(s):

Lun Guo ◽

Qi Li

Keyword(s):

Schrödinger Equation ◽

Schrodinger Equation ◽

High Energy ◽

Critical Growth ◽

Fractional Schrödinger Equation ◽

Fractional Schrodinger Equation

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Existence of solutions for asymptotically periodic fractional Schrödinger equation with critical growth

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.6681 ◽

2020 ◽

Vol 43 (17) ◽

pp. 10081-10097

Author(s):

Yongzhen Yun ◽

Tianqing An ◽

Guoju Ye ◽

Jiabin Zuo

Keyword(s):

Schrödinger Equation ◽

Schrodinger Equation ◽

Existence Of Solutions ◽

Critical Growth ◽

Fractional Schrödinger Equation ◽

Asymptotically Periodic ◽

Fractional Schrodinger 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) ◽

Cited By ~ 5

Author(s):

Liuyang Shao ◽

Haibo Chen

Keyword(s):

Schrödinger Equation ◽

Schrodinger Equation ◽

Critical Growth ◽

Quasilinear Schrödinger Equation ◽

Concentration Result

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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) ◽

Cited By ~ 1

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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Nonlinear Schrödinger equation with unbounded or decaying radial potentials involving exponential critical growth inR2

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2013.07.005 ◽

2014 ◽

Vol 409 (2) ◽

pp. 1021-1031 ◽

Cited By ~ 12

Author(s):

Francisco S.B. Albuquerque ◽

Claudianor O. Alves ◽

Everaldo S. Medeiros

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Critical Growth ◽

Nonlinear Schrödinger ◽

Exponential Critical Growth

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Existence and multiplicity of solutions for a non-periodic Schrödinger equation

Nonlinear Analysis ◽

10.1016/j.na.2007.10.024 ◽

2008 ◽

Vol 69 (11) ◽

pp. 3671-3678 ◽

Cited By ~ 13

Author(s):

Fukun Zhao ◽

Leiga Zhao ◽

Yanheng Ding

Keyword(s):

Schrödinger Equation ◽

Schrodinger Equation ◽

Multiplicity Of Solutions ◽

Existence And Multiplicity

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Multiplicity of solutions of perturbed Schrödinger equation with electromagnetic fields and critical nonlinearity in R N

Boundary Value Problems ◽

10.1186/s13661-014-0240-1 ◽

2014 ◽

Vol 2014 (1) ◽

Author(s):

Sihua Liang ◽

Yueqiang Song

Keyword(s):

Schrödinger Equation ◽

Electromagnetic Fields ◽

Schrodinger Equation ◽

Critical Nonlinearity ◽

Multiplicity Of Solutions

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Least energy solutions for nonlinear Schrödinger equation involving the fractional Laplacian and critical growth

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2017168 ◽

2017 ◽

Vol 37 (7) ◽

pp. 3963-3987

Author(s):

Zhongwei Tang ◽

Miaomiao Niu

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Fractional Laplacian ◽

Nonlinear Schrodinger Equation ◽

Critical Growth ◽

Nonlinear Schrödinger ◽

Least Energy Solutions ◽

Least Energy

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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 ◽

Cited By ~ 4

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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