Ground state solutions for nonlinear fractional Schrödinger equations in RN

Simone Secchi

doi:10.1063/1.4793990

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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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 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 ◽

Cited By ~ 117

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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Ground state solutions for fractional Schrödinger equations with critical Sobolev exponent

Communications on Pure and Applied Analysis ◽

10.3934/cpaa.2016.15.991 ◽

2016 ◽

Vol 15 (3) ◽

pp. 991-1008 ◽

Cited By ~ 14

Author(s):

Kaimin Teng ◽

Xiumei He

Keyword(s):

Ground State ◽

Critical Sobolev Exponent ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Ground State Solutions ◽

Fractional Schrödinger Equations ◽

Sobolev Exponent

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Ground state solutions of asymptotically linear fractional Schrödinger equations

Journal of Mathematical Physics ◽

10.1063/1.4809933 ◽

2013 ◽

Vol 54 (6) ◽

pp. 061504 ◽

Cited By ~ 53

Author(s):

Xiaojun Chang

Keyword(s):

Ground State ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Asymptotically Linear ◽

Ground State Solutions ◽

Fractional Schrödinger Equations

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Ground state solutions of fractional Schrödinger equations with potentials and weak monotonicity condition on the nonlinear term

Discrete & Continuous Dynamical Systems - B ◽

10.3934/dcdsb.2019131 ◽

2019 ◽

Vol 24 (11) ◽

pp. 6071-6089 ◽

Cited By ~ 1

Author(s):

Chao Ji ◽

◽

Keyword(s):

Ground State ◽

Nonlinear Term ◽

Schrodinger Equations ◽

Monotonicity Condition ◽

Schrödinger Equations ◽

Ground State Solutions ◽

Fractional Schrödinger Equations ◽

Weak Monotonicity

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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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Nonlinear Fractional Schrödinger Equations in R^N

10.1007/978-3-030-60220-8 ◽

2021 ◽

Author(s):

Vincenzo Ambrosio

Keyword(s):

Schrodinger Equations ◽

Schrödinger Equations ◽

Fractional Schrödinger Equations ◽

Nonlinear Fractional Schrödinger Equations

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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 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 ◽

Cited By ~ 1

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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Mass- and energy-conserving difference schemes for nonlinear fractional Schrödinger equations

Applied Mathematics Letters ◽

10.1016/j.aml.2020.106686 ◽

2021 ◽

Vol 111 ◽

pp. 106686

Author(s):

Xiaoxi Li ◽

Jinming Wen ◽

Dongfang Li

Keyword(s):

Difference Schemes ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Fractional Schrödinger Equations ◽

Nonlinear Fractional Schrödinger Equations ◽

Energy Conserving

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