ON ENTIRE SOLUTIONS IN SOME NONLINEAR FOURTH ORDER ELLIPTIC EQUATIONS

SynopsisLiouville type theorems are obtained for bounded entire solutions of equations of the form Δ2u − q(x)Δu + p(x)u = 0 by means of subharmonic functionals and Green type inequalities.

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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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High energy solutions of modified quasilinear fourth-order elliptic equations with sign-changing potential

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2016.10.015 ◽

2017 ◽

Vol 73 (1) ◽

pp. 27-36 ◽

Cited By ~ 11

Author(s):

Bitao Cheng ◽

Xianhua Tang

Keyword(s):

Fourth Order ◽

Elliptic Equations ◽

High Energy ◽

Fourth Order Elliptic Equations

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Solution, Gradient, and Laplacian Bounds in Some Nonlinear Fourth Order Elliptic Equations

SIAM Journal on Mathematical Analysis ◽

10.1137/0518033 ◽

1987 ◽

Vol 18 (2) ◽

pp. 430-434 ◽

Cited By ~ 7

Author(s):

Philip W. Schaefer

Keyword(s):

Fourth Order ◽

Elliptic Equations ◽

Fourth Order Elliptic Equations ◽

Solution Gradient

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Solutions for fourth order elliptic equations onRNinvolving uΔ(u2) and sign-changing potentials

Journal of Differential Equations ◽

10.1016/j.jde.2019.02.017 ◽

2019 ◽

Vol 267 (3) ◽

pp. 1581-1599

Author(s):

Shibo Liu ◽

Zhihan Zhao

Keyword(s):

Fourth Order ◽

Elliptic Equations ◽

Fourth Order Elliptic Equations

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Boundary decay estimates for solutions of fourth-order elliptic equations

Arkiv för matematik ◽

10.1007/s11512-007-0048-7 ◽

2007 ◽

Vol 45 (2) ◽

pp. 197-219 ◽

Cited By ~ 1

Author(s):

Gerassimos Barbatis

Keyword(s):

Fourth Order ◽

Elliptic Equations ◽

Decay Estimates ◽

Fourth Order Elliptic Equations

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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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Ground states for a class of asymptotically linear fourth-order elliptic equations

Applicable Analysis ◽

10.1080/00036811.2014.979807 ◽

2014 ◽

Vol 94 (10) ◽

pp. 2168-2174 ◽

Cited By ~ 4

Author(s):

Wen Zhang ◽

Xianhua Tang ◽

Jian Zhang

Keyword(s):

Fourth Order ◽

Elliptic Equations ◽

Ground States ◽

Asymptotically Linear ◽

Fourth Order Elliptic Equations

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