Positive and sign-changing least energy solutions for a fractional Schrödinger–Poisson system with critical exponent

Applicable Analysis ◽

10.1080/00036811.2018.1557325 ◽

2018 ◽

Vol 99 (13) ◽

pp. 2229-2257 ◽

Author(s):

Yuanyang Yu ◽

Fukun Zhao ◽

Leiga Zhao

Keyword(s):

Critical Exponent ◽

Poisson System ◽

Least Energy Solutions ◽

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Asymptotic behavior of the least-energy solutions of a semilinear elliptic equation with the Hardy–Sobolev critical exponent

Journal of Differential Equations ◽

10.1016/j.jde.2016.11.005 ◽

2017 ◽

Vol 262 (3) ◽

pp. 3107-3131 ◽

Author(s):

Masato Hashizume

Keyword(s):

Asymptotic Behavior ◽

Elliptic Equation ◽

Critical Exponent ◽

Semilinear Elliptic Equation ◽

Semilinear Elliptic ◽

Least Energy Solutions ◽

Sobolev Critical Exponent ◽

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On the existence of positive least energy solutions for a coupled Schrödinger system with critical exponent

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.4034 ◽

2016 ◽

Vol 40 (4) ◽

pp. 1032-1043

Author(s):

Hongyu Ye

Keyword(s):

Critical Exponent ◽

Coupled Schrödinger System ◽

Least Energy Solutions ◽

Least Energy ◽

Schrödinger System

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Positive least energy solutions and phase separation for coupled Schrödinger equations with critical exponent: higher dimensional case

Calculus of Variations and Partial Differential Equations ◽

10.1007/s00526-014-0717-x ◽

2014 ◽

Vol 52 (1-2) ◽

pp. 423-467 ◽

Author(s):

Zhijie Chen ◽

Wenming Zou

Keyword(s):

Phase Separation ◽

Critical Exponent ◽

Dimensional Case ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Higher Dimensional ◽

Least Energy Solutions ◽

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Existence and nonexistence of G -least energy solutions for a nonlinear Neumann problem with critical exponent in symmetric domains

Calculus of Variations and Partial Differential Equations ◽

10.1007/s005260050119 ◽

1999 ◽

Vol 8 (2) ◽

pp. 109-122 ◽

Author(s):

Zhi-Qiang Wang

Keyword(s):

Critical Exponent ◽

Neumann Problem ◽

Nonlinear Neumann Problem ◽

Existence And Nonexistence ◽

Least Energy Solutions ◽

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Positive least energy solutions for a coupled Schrödinger system with critical exponent

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2014.03.028 ◽

2014 ◽

Vol 417 (1) ◽

pp. 308-326 ◽

Author(s):

Hongyu Ye ◽

Yanfang Peng

Keyword(s):

Critical Exponent ◽

Coupled Schrödinger System ◽

Least Energy Solutions ◽

Least Energy ◽

Schrödinger System

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Asymptotic behavior of least energy solutions to a semilinear Dirichlet problem near the critical exponent

Journal of the Mathematical Society of Japan ◽

10.2969/jmsj/05010139 ◽

1998 ◽

Vol 50 (1) ◽

pp. 139-153 ◽

Author(s):

Juncheng WEI

Keyword(s):

Asymptotic Behavior ◽

Dirichlet Problem ◽

Critical Exponent ◽

Least Energy Solutions ◽

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Positive least energy solutions for k-coupled Schrödinger system with critical exponent: the higher dimension and cooperative case

Journal of Fixed Point Theory and Applications ◽

10.1007/s11784-021-00923-8 ◽

2021 ◽

Vol 24 (1) ◽

Author(s):

Xin Yin ◽

Wenming Zou

Keyword(s):

Critical Exponent ◽

Higher Dimension ◽

Coupled Schrödinger System ◽

Least Energy Solutions ◽

Least Energy ◽

Schrödinger System

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Positive least energy solutions for coupled nonlinear Choquard equations with Hardy-Littlewood-Sobolev critical exponent

Topological Methods in Nonlinear Analysis ◽

10.12775/tmna.2019.014 ◽

2019 ◽

pp. 1

Author(s):

Song You ◽

Qingxun Wang ◽

Peihao Zhao

Keyword(s):

Critical Exponent ◽

Least Energy Solutions ◽

Sobolev Critical Exponent ◽

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Positive Least Energy Solutions and Phase Separation for Coupled Schrödinger Equations with Critical Exponent

Archive for Rational Mechanics and Analysis ◽

10.1007/s00205-012-0513-8 ◽

2012 ◽

Vol 205 (2) ◽

pp. 515-551 ◽

Author(s):

Zhijie Chen ◽

Wenming Zou

Keyword(s):

Phase Separation ◽

Critical Exponent ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Least Energy Solutions ◽

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Least energy sign-changing solutions for a class of Schrödinger–Poisson system on bounded domains

Journal of Mathematical Physics ◽

10.1063/5.0040741 ◽

2021 ◽

Vol 62 (3) ◽

pp. 031509

Author(s):

Sofiane Khoutir

Keyword(s):

Bounded Domains ◽

Poisson System ◽

Sign Changing Solutions ◽

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