Existence of weak solutions for a class of fractional Schrödinger equations with periodic potential

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2016.12.004 ◽

2017 ◽

Vol 73 (3) ◽

pp. 465-482 ◽

Author(s):

Yang Pu ◽

Jiu Liu ◽

Chun-Lei Tang

Keyword(s):

Weak Solutions ◽

Periodic Potential ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Existence Of Weak Solutions ◽

Fractional Schrödinger Equations

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Existence of weak solutions for quasilinear Schrödinger equations with a parameter

Electronic journal of qualitative theory of differential equations ◽

10.14232/ejqtde.2020.1.41 ◽

2020 ◽

pp. 1-20

Author(s):

Yunfeng Wei ◽

Caisheng Chen ◽

Hongwei Yang ◽

Hongwang Yu

Keyword(s):

Weak Solutions ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Existence Of Weak Solutions

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Existence of Weak Solutions for Generalized Quasilinear Schrödinger Equations

Journal of Dynamical and Control Systems ◽

10.1007/s10883-015-9298-z ◽

2015 ◽

Vol 22 (2) ◽

pp. 369-383 ◽

Author(s):

Hongxue Song ◽

Caisheng Chen

Keyword(s):

Weak Solutions ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Existence Of Weak Solutions

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Existence of weak solutions to some stationary Schrödinger equations with singular nonlinearity

Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas ◽

10.1007/s13398-014-0165-7 ◽

2014 ◽

Vol 109 (1) ◽

pp. 43-63 ◽

Author(s):

Pascal Bégout ◽

Jesús Ildefonso Díaz

Keyword(s):

Weak Solutions ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Existence Of Weak Solutions ◽

Singular Nonlinearity

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Multiple sign-changing solutions for fractional Schrödinger equations involving critical or supercritical exponent

Applied Mathematics Letters ◽

10.1016/j.aml.2021.107321 ◽

2021 ◽

Vol 120 ◽

pp. 107321

Author(s):

Quanqing Li ◽

Jianjun Nie

Keyword(s):

Schrodinger Equations ◽

Schrödinger Equations ◽

Supercritical Exponent ◽

Fractional Schrödinger Equations ◽

Sign Changing 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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On superlinear Schrödinger equations with periodic potential

Calculus of Variations and Partial Differential Equations ◽

10.1007/s00526-011-0447-2 ◽

2011 ◽

Vol 45 (1-2) ◽

pp. 1-9 ◽

Author(s):

Shibo Liu

Keyword(s):

Periodic Potential ◽

Schrodinger Equations ◽

Schrödinger Equations

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Existence and concentration result for the fractional Schrödinger equations with critical nonlinearities

Calculus of Variations and Partial Differential Equations ◽

10.1007/s00526-016-1045-0 ◽

2016 ◽

Vol 55 (4) ◽

Author(s):

Xiaoming He ◽

Wenming Zou

Keyword(s):

Schrodinger Equations ◽

Schrödinger Equations ◽

Critical Nonlinearities ◽

Fractional Schrödinger Equations ◽

Concentration Result

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Highly accurate solutions for space–time fractional Schrödinger equations with non-smooth continuous solution using the hybrid clique functions

Mathematical Sciences ◽

10.1007/s40096-021-00437-x ◽

2021 ◽

Author(s):

M. H. Heydari ◽

M. Razzaghi

Keyword(s):

Continuous Solution ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Fractional Schrödinger Equations

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Global in time Strichartz estimates for the fractional Schrödinger equations on asymptotically Euclidean manifolds

Journal of Functional Analysis ◽

10.1016/j.jfa.2018.07.006 ◽

2018 ◽

Vol 275 (8) ◽

pp. 1943-2014

Author(s):

Van Duong Dinh

Keyword(s):

Strichartz Estimates ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

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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