Positive and negative solutions for the nonlinear fractional Kirchhoff equation in $${\mathbb {R}}^{N}$$

Yang Wang; Yansheng Liu

doi:10.1007/s42985-020-00030-2

Positive and negative solutions for the nonlinear fractional Kirchhoff equation in $${\mathbb {R}}^{N}$$

SN Partial Differential Equations and Applications ◽

10.1007/s42985-020-00030-2 ◽

2020 ◽

Vol 1 (5) ◽

Author(s):

Yang Wang ◽

Yansheng Liu

Keyword(s):

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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Multiplicity of concentrating solutions for a class of fractional Kirchhoff equation

manuscripta mathematica ◽

10.1007/s00229-018-1017-0 ◽

2018 ◽

Vol 158 (1-2) ◽

pp. 159-203 ◽

Cited By ~ 6

Author(s):

Xiaoming He ◽

Wenming Zou

Keyword(s):

Kirchhoff Equation ◽

Concentrating Solutions ◽

Fractional Kirchhoff Equation

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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 ◽

Cited By ~ 3

Author(s):

Vincenzo Ambrosio

Keyword(s):

Critical Growth ◽

Kirchhoff Equation ◽

Concentrating Solutions ◽

Fractional Kirchhoff Equation

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Multiplicity results for a fractional Kirchhoff equation involving sign-changing weight function

Boundary Value Problems ◽

10.1186/s13661-016-0715-3 ◽

2016 ◽

Vol 2016 (1) ◽

Cited By ~ 1

Author(s):

Chuanzhi Bai

Keyword(s):

Weight Function ◽

Kirchhoff Equation ◽

Multiplicity Results ◽

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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Existence and uniqueness of minimizers for L 2 ‐constrained problems related to fractional Kirchhoff equation

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.6543 ◽

2020 ◽

Vol 43 (15) ◽

pp. 8763-8775 ◽

Cited By ~ 1

Author(s):

Xiaomeng Huang ◽

Yimin Zhang

Keyword(s):

Existence And Uniqueness ◽

Kirchhoff Equation ◽

Constrained Problems ◽

Fractional Kirchhoff Equation

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Fractional Kirchhoff equation with critical exponential nonlinearity

Complex Variables and Elliptic Equations ◽

10.1080/17476933.2016.1167200 ◽

2016 ◽

Vol 61 (9) ◽

pp. 1241-1266 ◽

Cited By ~ 1

Author(s):

J. Giacomoni ◽

Pawan Kumar Mishra ◽

K. Sreenadh

Keyword(s):

Kirchhoff Equation ◽

Exponential Nonlinearity ◽

Fractional Kirchhoff Equation

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Multiplicity and concentration behavior of positive solutionsfor a fractional Kirchhoff equation in $\mathbb{R}^3$

Scientia Sinica Mathematica ◽

10.1360/scm-2017-0704 ◽

2018 ◽

Vol 49 (1) ◽

pp. 39

Author(s):

Gu Guangze ◽

Wu Xian ◽

Yu Yuanyang ◽

Zhao Fukun

Keyword(s):

Kirchhoff Equation ◽

Fractional Kirchhoff Equation ◽

Concentration Behavior

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Multiple concentrating solutions for a fractional Kirchhoff equation with magnetic fields

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2020062 ◽

2020 ◽

Vol 40 (2) ◽

pp. 781-815 ◽

Cited By ~ 2

Author(s):

Vincenzo Ambrosio ◽

Keyword(s):

Magnetic Fields ◽

Kirchhoff Equation ◽

Concentrating Solutions ◽

Fractional Kirchhoff Equation

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Multiplicity and Concentration of Positive Solutions for a Fractional Kirchhoff Equation

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

10.1007/978-3-030-60220-8_11 ◽

2020 ◽

pp. 379-415

Author(s):

Vincenzo Ambrosio

Keyword(s):

Positive Solutions ◽

Kirchhoff Equation ◽

Fractional Kirchhoff Equation

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