Existence and Multiplicity of Solutions for Nonhomogeneous Schrödinger–Kirchhoff-Type Fourth-Order Elliptic Equations in $$\mathbb {R}^{N}$$

Jiabin Zuo; Tianqing An; Yuanfang Ru; Dafang Zhao

doi:10.1007/s00009-019-1402-2

Existence and Multiplicity of Solutions for Nonhomogeneous Schrödinger–Kirchhoff-Type Fourth-Order Elliptic Equations in $$\mathbb {R}^{N}$$

Mediterranean Journal of Mathematics ◽

10.1007/s00009-019-1402-2 ◽

2019 ◽

Vol 16 (5) ◽

Author(s):

Jiabin Zuo ◽

Tianqing An ◽

Yuanfang Ru ◽

Dafang Zhao

Keyword(s):

Fourth Order ◽

Elliptic Equations ◽

Multiplicity Of Solutions ◽

Kirchhoff Type ◽

Existence And Multiplicity ◽

Fourth Order Elliptic Equations

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Existence and multiplicity of solutions for fourth-order elliptic equations of Kirchhoff type via genus theory

Boundary Value Problems ◽

10.1186/s13661-014-0212-5 ◽

2014 ◽

Vol 2014 (1) ◽

Cited By ~ 4

Author(s):

Liping Xu ◽

Haibo Chen

Keyword(s):

Fourth Order ◽

Elliptic Equations ◽

Multiplicity Of Solutions ◽

Kirchhoff Type ◽

Existence And Multiplicity ◽

Genus Theory ◽

Fourth Order Elliptic Equations

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Existence and multiplicity of solutions for fourth-order elliptic equations of Kirchhoff type with critical growth in ℝN

Journal of Mathematical Physics ◽

10.1063/1.4967976 ◽

2016 ◽

Vol 57 (11) ◽

pp. 111505 ◽

Cited By ~ 4

Author(s):

Sihua Liang ◽

Jihui Zhang

Keyword(s):

Fourth Order ◽

Elliptic Equations ◽

Critical Growth ◽

Multiplicity Of Solutions ◽

Kirchhoff Type ◽

Existence And Multiplicity ◽

Fourth Order Elliptic Equations

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Existence and multiplicity of solutions for a class of fourth-order elliptic equations in RN

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2012.05.063 ◽

2012 ◽

Vol 395 (2) ◽

pp. 608-615 ◽

Cited By ~ 28

Author(s):

Jiu Liu ◽

ShaoXiong Chen ◽

Xian Wu

Keyword(s):

Fourth Order ◽

Elliptic Equations ◽

Multiplicity Of Solutions ◽

Existence And Multiplicity ◽

Fourth Order Elliptic Equations

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Existence and multiplicity of solutions for nonlocal fourth-order elliptic equations with combined nonlinearities

Boundary Value Problems ◽

10.1186/s13661-020-01430-4 ◽

2020 ◽

Vol 2020 (1) ◽

Author(s):

Ru Yuanfang ◽

An Yukun

Keyword(s):

Fourth Order ◽

Elliptic Equations ◽

Multiplicity Of Solutions ◽

Existence And Multiplicity ◽

Fourth Order Elliptic Equations

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Existence and multiplicity of solutions to fourth order elliptic equations with critical exponent on compact manifolds

Bulletin of the Belgian Mathematical Society - Simon Stevin ◽

10.36045/bbms/1290608190 ◽

2010 ◽

Vol 17 (4) ◽

pp. 607-622 ◽

Cited By ~ 4

Author(s):

Mohammed Benalili

Keyword(s):

Critical Exponent ◽

Fourth Order ◽

Elliptic Equations ◽

Compact Manifolds ◽

Multiplicity Of Solutions ◽

Existence And Multiplicity ◽

Fourth Order Elliptic Equations

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Multiplicity of Solutions for Fourth-Order Elliptic Equations of Kirchhoff Type with Critical Exponent

Journal of Dynamical and Control Systems ◽

10.1007/s10883-016-9331-x ◽

2016 ◽

Vol 23 (2) ◽

pp. 375-386 ◽

Cited By ~ 8

Author(s):

Yueqiang Song ◽

Shaoyun Shi

Keyword(s):

Critical Exponent ◽

Fourth Order ◽

Elliptic Equations ◽

Multiplicity Of Solutions ◽

Kirchhoff Type ◽

Fourth Order Elliptic Equations

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Existence and multiplicity of solutions for fourth-order elliptic equations inRN

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2013.04.079 ◽

2013 ◽

Vol 406 (1) ◽

pp. 335-351 ◽

Cited By ~ 25

Author(s):

Yiwei Ye ◽

Chun-Lei Tang

Keyword(s):

Fourth Order ◽

Elliptic Equations ◽

Multiplicity Of Solutions ◽

Existence And Multiplicity ◽

Fourth Order Elliptic Equations

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Multiple Solutions for Critical Fourth-Order Elliptic Equations of Kirchhoff type

Bulletin of the Malaysian Mathematical Sciences Society ◽

10.1007/s40840-020-00986-9 ◽

2020 ◽

Author(s):

Fu Zhao ◽

Zeyi Liu ◽

Sihua Liang

Keyword(s):

Fourth Order ◽

Elliptic Equations ◽

Multiple Solutions ◽

Kirchhoff Type ◽

Fourth Order Elliptic Equations

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Existence of solutions for fourth order elliptic equations of Kirchhoff type

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2013.07.003 ◽

2014 ◽

Vol 409 (1) ◽

pp. 140-146 ◽

Cited By ~ 30

Author(s):

Fanglei Wang ◽

Mustafa Avci ◽

Yukun An

Keyword(s):

Fourth Order ◽

Elliptic Equations ◽

Existence Of Solutions ◽

Kirchhoff Type ◽

Fourth Order Elliptic Equations

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Existence and multiplicity of solutions to elliptic equations of fourth order on compact manifolds

Dynamics of Partial Differential Equations ◽

10.4310/dpde.2009.v6.n3.a1 ◽

2009 ◽

Vol 6 (3) ◽

pp. 203-225 ◽

Cited By ~ 1

Author(s):

Mohammed Benalili

Keyword(s):

Fourth Order ◽

Elliptic Equations ◽

Compact Manifolds ◽

Multiplicity Of Solutions ◽

Existence And Multiplicity

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