Ground state of Kirchhoff type fractional Schrödinger equations with critical growth

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2018.01.060 ◽

2018 ◽

Vol 462 (1) ◽

pp. 57-83 ◽

Author(s):

Jian Zhang ◽

Zhenluo Lou ◽

Yanju Ji ◽

Wei Shao

Keyword(s):

Ground State ◽

Critical Growth ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Kirchhoff Type ◽

Fractional Schrödinger Equations

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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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Bifurcation and multiplicity of positive solutions for nonhomogeneous fractional Schrödinger equations with critical growth

Science China Mathematics ◽

10.1007/s11425-020-1692-1 ◽

2020 ◽

Vol 63 (8) ◽

pp. 1571-1612

Author(s):

Xiaoming He ◽

Wenming Zou

Keyword(s):

Positive Solutions ◽

Critical Growth ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Fractional Schrödinger Equations ◽

Multiplicity Of Positive Solutions

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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 ◽

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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Fourier spectral method on sparse grids for computing ground state of many-particle fractional Schrödinger equations

International Journal of Computer Mathematics ◽

10.1080/00207160.2020.1812586 ◽

2020 ◽

pp. 1-15

Author(s):

Xueyang Li ◽

Aiguo Xiao

Keyword(s):

Spectral Method ◽

Ground State ◽

Sparse Grids ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Fourier Spectral Method ◽

Fractional Schrödinger Equations

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Existence and multiplicity of positive solutions for fractional Schrödinger equations with critical growth

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2016.10.007 ◽

2017 ◽

Vol 35 ◽

pp. 158-174 ◽

Author(s):

Fei Tao ◽

Xian Wu

Keyword(s):

Positive Solutions ◽

Critical Growth ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Existence And Multiplicity ◽

Fractional Schrödinger Equations ◽

Multiplicity Of Positive Solutions

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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 ◽

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 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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Ground state sign-changing solutions for a class of generalized quasilinear Schrödinger equations with a Kirchhoff-type perturbation

Journal of Fixed Point Theory and Applications ◽

10.1007/s11784-017-0475-4 ◽

2017 ◽

Vol 19 (4) ◽

pp. 3127-3149 ◽

Author(s):

Jianhua Chen ◽

Xianhua Tang ◽

Zu Gao ◽

Bitao Cheng

Keyword(s):

Ground State ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Kirchhoff Type ◽

Sign Changing Solutions

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Semiclassical states for fractional Schrödinger equations with critical growth

Nonlinear Analysis ◽

10.1016/j.na.2016.12.004 ◽

2017 ◽

Vol 151 ◽

pp. 164-186 ◽

Author(s):

Qing Guo ◽

Xiaoming He

Keyword(s):

Critical Growth ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Fractional Schrödinger Equations ◽

Semiclassical States

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Ground state solutions of scalar field fractional Schrödinger equations

Calculus of Variations and Partial Differential Equations ◽

10.1007/s00526-015-0891-5 ◽

2015 ◽

Vol 54 (3) ◽

pp. 2985-3008 ◽

Author(s):

Giovanni Molica Bisci ◽

Vicenţiu D. Rădulescu

Keyword(s):

Scalar Field ◽

Ground State ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Ground State Solutions ◽

Fractional Schrödinger Equations

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