Ground state and nodal solutions for fractional Kirchhoff equation with pure critical growth nonlinearity

Electronic Research Archive ◽

10.3934/era.2021038 ◽

2021 ◽

Vol 0 (0) ◽

pp. 0

Author(s):

Chungen Liu ◽

Huabo Zhang

Keyword(s):

Ground State ◽

Critical Growth ◽

Kirchhoff Equation ◽

Nodal Solutions ◽

Fractional Kirchhoff Equation

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Nodal solutions for Kirchhoff equation in R3 with critical growth

Applied Mathematics Letters ◽

10.1016/j.aml.2019.106101 ◽

2020 ◽

Vol 102 ◽

pp. 106101

Author(s):

Junfang Zhao ◽

Xiangqing Liu

Keyword(s):

Critical Growth ◽

Kirchhoff Equation ◽

Nodal Solutions

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Concentrating solutions for a fractional Kirchhoff equation with critical growth

Asymptotic Analysis ◽

10.3233/asy-191543 ◽

2020 ◽

Vol 116 (3-4) ◽

pp. 249-278 ◽

Author(s):

Vincenzo Ambrosio

Keyword(s):

Critical Growth ◽

Kirchhoff Equation ◽

Concentrating Solutions ◽

Fractional Kirchhoff Equation

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Concentrating Solutions for a Fractional Kirchhoff Equation with Critical Growth

Nonlinear Fractional Schrödinger Equations in R^N - Frontiers in Mathematics ◽

10.1007/978-3-030-60220-8_12 ◽

2020 ◽

pp. 417-441

Author(s):

Vincenzo Ambrosio

Keyword(s):

Critical Growth ◽

Kirchhoff Equation ◽

Concentrating Solutions ◽

Fractional Kirchhoff Equation

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Ground state and nodal solutions for a Schrödinger-Poisson equation with critical growth

Journal of Mathematical Physics ◽

10.1063/1.5050856 ◽

2018 ◽

Vol 59 (12) ◽

pp. 121509 ◽

Author(s):

Aixia Qian ◽

Jingmei Liu ◽

Anmin Mao

Keyword(s):

Poisson Equation ◽

Ground State ◽

Critical Growth ◽

Nodal Solutions

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On ground state and nodal solutions of Schrödinger–Poisson equations with critical growth

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2015.03.032 ◽

2015 ◽

Vol 428 (1) ◽

pp. 387-404 ◽

Author(s):

Jian Zhang

Keyword(s):

Ground State ◽

Critical Growth ◽

Nodal Solutions ◽

Poisson Equations

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POSITIVE AND SIGN-CHANGING SOLUTIONS FOR THE FRACTIONAL KIRCHHOFF EQUATION WITH CRITICAL GROWTH

Journal of Applied Analysis & Computation ◽

10.11948/20190406 ◽

2020 ◽

Vol 0 (0) ◽

pp. 0-0

Author(s):

Qiu-Ying Peng ◽

◽

Zeng-Qi Ou ◽

Ying Lv

Keyword(s):

Critical Growth ◽

Kirchhoff Equation ◽

Fractional Kirchhoff Equation ◽

Sign Changing Solutions

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Ground state and nodal solutions for fractional Schrödinger-maxwell-kirchhoff systems with pure critical growth nonlinearity

Communications on Pure & Applied Analysis ◽

10.3934/cpaa.2020292 ◽

2020 ◽

Vol 0 (0) ◽

pp. 1-28

Author(s):

Chungen Liu ◽

◽

Huabo Zhang

Keyword(s):

Ground State ◽

Critical Growth ◽

Nodal Solutions

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Multiplicity and Concentration of Solutions for a Fractional Kirchhoff Equation with Magnetic Field and Critical Growth

Annales Henri Poincaré ◽

10.1007/s00023-019-00803-5 ◽

2019 ◽

Vol 20 (8) ◽

pp. 2717-2766 ◽

Author(s):

Vincenzo Ambrosio

Keyword(s):

Magnetic Field ◽

Critical Growth ◽

Kirchhoff Equation ◽

Concentration Of Solutions ◽

Fractional Kirchhoff Equation

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Existence of ground state for fractional Kirchhoff equation with $L^{2}$ critical exponents

Boundary Value Problems ◽

10.1186/s13661-020-01424-2 ◽

2020 ◽

Vol 2020 (1) ◽

Author(s):

Yaling Han ◽

Yimin Zhang

Keyword(s):

Critical Exponents ◽

Ground State ◽

Kirchhoff Equation ◽

Fractional Kirchhoff Equation

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Multiple solutions for fractional Kirchhoff equation with critical or supercritical nonlinearity

Applied Mathematics Letters ◽

10.1016/j.aml.2021.107204 ◽

2021 ◽

pp. 107204

Author(s):

Limin Zhang ◽

Xianhua Tang ◽

Sitong Chen

Keyword(s):

Multiple Solutions ◽

Kirchhoff Equation ◽

Supercritical Nonlinearity ◽

Fractional Kirchhoff Equation

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