Normalized solutions for a Schrödinger equation with critical growth in $${\mathbb {R}}^{N}$$

Calculus of Variations and Partial Differential Equations ◽

10.1007/s00526-021-02123-1 ◽

2021 ◽

Vol 61 (1) ◽

Author(s):

Claudianor O. Alves ◽

Chao Ji ◽

Olimpio H. Miyagaki

Keyword(s):

Schrödinger Equation ◽

Schrodinger Equation ◽

Critical Growth ◽

Normalized Solutions

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Multiple normalized solutions for a Sobolev critical Schrödinger equation

Mathematische Annalen ◽

10.1007/s00208-021-02228-0 ◽

2021 ◽

Author(s):

Louis Jeanjean ◽

Thanh Trung Le

Keyword(s):

Schrödinger Equation ◽

Schrodinger Equation ◽

Normalized Solutions

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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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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) ◽

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) ◽

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 ◽

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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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 ◽

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Normalized solutions to the mixed dispersion nonlinear Schrödinger equation in the mass critical and supercritical regime

Transactions of the American Mathematical Society ◽

10.1090/tran/7769 ◽

2019 ◽

Vol 372 (3) ◽

pp. 2167-2212 ◽

Author(s):

Denis Bonheure ◽

Jean-Baptiste Casteras ◽

Tianxiang Gou ◽

Louis Jeanjean

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Supercritical Regime ◽

Nonlinear Schrödinger ◽

Normalized Solutions

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Normalized solutions for the fractional Schrödinger equation with a focusing nonlocal L2-critical or L2-supercritical perturbation

Journal of Mathematical Physics ◽

10.1063/1.5144695 ◽

2020 ◽

Vol 61 (5) ◽

pp. 051505 ◽

Author(s):

Tao Yang

Keyword(s):

Schrödinger Equation ◽

Schrodinger Equation ◽

Fractional Schrödinger Equation ◽

Normalized Solutions ◽

Fractional Schrodinger Equation

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