Existence of Solutions for a Coupled System of Second and Fourth Order Elliptic Equations

Abstract and Applied Analysis ◽

10.1155/2014/680919 ◽

2014 ◽

Vol 2014 ◽

pp. 1-4 ◽

Cited By ~ 1

Author(s):

Fanglei Wang

Keyword(s):

Fourth Order ◽

Elliptic Equations ◽

Existence Of Solutions ◽

Coupled System ◽

Monotone Sequence ◽

Fourth Order Elliptic Equations ◽

Quasilinearization Technique

The generalized quasilinearization technique is applied to obtain a monotone sequence of iterates converging uniformly and quadratically to a solution of a coupled system of second and fourth order elliptic equations.

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Corrigendum to “Existence of Solutions for a Coupled System of Second and Fourth Order Elliptic Equations”

Abstract and Applied Analysis ◽

10.1155/2017/1439729 ◽

2017 ◽

Vol 2017 ◽

pp. 1-1

Author(s):

Fanglei Wang

Keyword(s):

Fourth Order ◽

Elliptic Equations ◽

Existence Of Solutions ◽

Coupled System ◽

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 of solutions for the coupled systems of second and fourth order elliptic equations

Differential Equations & Applications ◽

10.7153/dea-03-16 ◽

2011 ◽

pp. 267-277

Author(s):

Lei Ji ◽

Chun-Lei Tang

Keyword(s):

Fourth Order ◽

Elliptic Equations ◽

Existence Of Solutions ◽

Coupled Systems ◽

Fourth Order Elliptic Equations

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Existence of solutions for fourth order elliptic equations of Kirchhoff type on RN

Electronic journal of qualitative theory of differential equations ◽

10.14232/ejqtde.2014.1.39 ◽

2014 ◽

pp. 1-11 ◽

Cited By ~ 7

Author(s):

Fanglei Wang ◽

Tianqing An ◽

Yukun An

Keyword(s):

Fourth Order ◽

Elliptic Equations ◽

Existence Of Solutions ◽

Kirchhoff Type ◽

Fourth Order Elliptic Equations

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On the existence of solutions for a class of fourth order elliptic equations of Kirchhoff type with variable exponent

Advances in the Theory of Nonlinear Analysis and its Application ◽

10.31197/atnaa.495567 ◽

2019 ◽

Vol 3 (1) ◽

pp. 35-45

Author(s):

Nguyen Thanh Chung

Keyword(s):

Fourth Order ◽

Elliptic Equations ◽

Variable Exponent ◽

Existence Of Solutions ◽

Kirchhoff Type ◽

Fourth Order Elliptic Equations

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Maximum principles for a coupled system of second and fourth order elliptic equations and an application

Applied Mathematics and Computation ◽

10.1016/j.amc.2003.12.014 ◽

2005 ◽

Vol 161 (1) ◽

pp. 121-127 ◽

Cited By ~ 2

Author(s):

Yukun An

Keyword(s):

Fourth Order ◽

Elliptic Equations ◽

Coupled System ◽

Maximum Principles ◽

Fourth Order Elliptic Equations

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Existence of solutions for perturbed fourth order elliptic equations with variable exponents

Electronic journal of qualitative theory of differential equations ◽

10.14232/ejqtde.2018.1.96 ◽

2018 ◽

pp. 1-19 ◽

Cited By ~ 4

Author(s):

Nguyen Thanh Chung

Keyword(s):

Fourth Order ◽

Elliptic Equations ◽

Existence Of Solutions ◽

Variable Exponents ◽

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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Removability of Isolated Singular Points for Fourth Order Elliptic Equations with Nonstandard Growth

Potential Analysis ◽

10.1007/s11118-021-09964-7 ◽

2021 ◽

Author(s):

Yingying Shan ◽

Binlin Zhang

Keyword(s):

Fourth Order ◽

Elliptic Equations ◽

Singular Points ◽

Nonstandard Growth ◽

Fourth Order Elliptic Equations

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Mountain pass solutions for the coupled systems of second and fourth order elliptic equations

Nonlinear Analysis ◽

10.1016/j.na.2005.05.022 ◽

2005 ◽

Vol 63 (8) ◽

pp. 1034-1041 ◽

Cited By ~ 2

Author(s):

Yukun An

Keyword(s):

Fourth Order ◽

Elliptic Equations ◽

Coupled Systems ◽

Mountain Pass ◽

Mountain Pass Solutions ◽

Fourth Order Elliptic Equations

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