Existence of Nonradial Solutions for Hénon Type Biharmonic Equation Involving Critical Sobolev Exponents

Abstract and Applied Analysis ◽

10.1155/2014/684679 ◽

2014 ◽

Vol 2014 ◽

pp. 1-16

Author(s):

Yajing Zhang ◽

Ningning Wang ◽

Yinmei Lü ◽

Jianghao Hao

Keyword(s):

Dirichlet Problem ◽

Biharmonic Equation ◽

Critical Sobolev Exponents ◽

Biharmonic Dirichlet Problem

We prove the existence of nonradial solutions under some conditions for a semilinear biharmonic Dirichlet problem involving critical Sobolev exponents.

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A Legendre Spectral Collocation Method for the Biharmonic Dirichlet Problem

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an:2000160 ◽

2000 ◽

Vol 34 (3) ◽

pp. 637-662 ◽

Cited By ~ 11

Author(s):

Bernard Bialecki ◽

Andreas Karageorghis

Keyword(s):

Dirichlet Problem ◽

Collocation Method ◽

Spectral Collocation Method ◽

Spectral Collocation ◽

Biharmonic Dirichlet Problem

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Boundary Element Analysis of a Direct Method for the Biharmonic Dirichlet Problem

The Gohberg Anniversary Collection ◽

10.1007/978-3-0348-9144-8_24 ◽

1989 ◽

pp. 569-587 ◽

Cited By ~ 1

Author(s):

M. Costabel ◽

J. Saranen

Keyword(s):

Dirichlet Problem ◽

Boundary Element ◽

Direct Method ◽

Element Analysis ◽

Boundary Element Analysis ◽

A Direct Method ◽

Biharmonic Dirichlet Problem

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The Green Function of the Dirichlet Problem for the Biharmonic Equation in a Ball

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542519010111 ◽

2019 ◽

Vol 59 (1) ◽

pp. 66-81

Author(s):

V. V. Karachik

Keyword(s):

Dirichlet Problem ◽

Green Function ◽

Biharmonic Equation ◽

The Green Function

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A solution of the biharmonic dirichlet problem by means of hypercomplex analytic functions

Function Theoretic Methods for Partial Differential Equations - Lecture Notes in Mathematics ◽

10.1007/bfb0087636 ◽

1976 ◽

pp. 192-202 ◽

Cited By ~ 3

Author(s):

J. Edenhofer

Keyword(s):

Dirichlet Problem ◽

Analytic Functions ◽

Biharmonic Dirichlet Problem

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STABILITY OF A QUADRATURE METHOD FOR THE BIHARMONIC DIRICHLET PROBLEM

Proceedings of the Third Asian Mathematical Conference 2000 ◽

10.1142/9789812777461_0015 ◽

2002 ◽

Author(s):

V. D. DIDENKO

Keyword(s):

Dirichlet Problem ◽

Quadrature Method ◽

Biharmonic Dirichlet Problem

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A Legendre Spectral Galerkin Method for the Biharmonic Dirichlet Problem

SIAM Journal on Scientific Computing ◽

10.1137/s1064827598342407 ◽

2001 ◽

Vol 22 (5) ◽

pp. 1549-1569 ◽

Cited By ~ 23

Author(s):

Bernard Bialecki ◽

Andreas Karageorghis

Keyword(s):

Dirichlet Problem ◽

Galerkin Method ◽

Spectral Galerkin Method ◽

Biharmonic Dirichlet Problem

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A fast interface solver for the biharmonic Dirichlet problem on polygonal domains

Numerische Mathematik ◽

10.1007/s002110050326 ◽

1998 ◽

Vol 78 (4) ◽

pp. 577-596 ◽

Cited By ~ 3

Author(s):

B.N. Khoromskij ◽

G. Schmidt

Keyword(s):

Dirichlet Problem ◽

Polygonal Domains ◽

Biharmonic Dirichlet Problem

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The Dirichlet Problem in L p for the Biharmonic Equation on Lipschitz Domains

American Journal of Mathematics ◽

10.2307/2374885 ◽

1992 ◽

Vol 114 (5) ◽

pp. 923 ◽

Cited By ~ 30

Author(s):

Jill Pipher ◽

Gregory Verchota

Keyword(s):

Dirichlet Problem ◽

Biharmonic Equation ◽

Lipschitz Domains

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ON THE CHARACTER OF THE CONTINUITY, ON THE BOUNDARY OF A NONSMOOTH REGION, OF A GENERALIZED SOLUTION OF THE DIRICHLET PROBLEM FOR THE BIHARMONIC EQUATION

Mathematics of the USSR-Sbornik ◽

10.1070/sm1991v069n02abeh001248 ◽

1991 ◽

Vol 69 (2) ◽

pp. 607-620

Author(s):

V A Kondrat'ev ◽

I Kopachek ◽

O A Oleĭnik

Keyword(s):

Dirichlet Problem ◽

Biharmonic Equation ◽

Generalized Solution

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The Method of Least Squares on the Boundary for the Biharmonic Equation (for the Problem of Wall-beams). The Trefftz Method of the Solution of the Dirichlet Problem for the Laplace Equation

Variational Methods in Mathematics, Science and Engineering ◽

10.1007/978-94-011-6450-4_45 ◽

1977 ◽

pp. 511-523

Author(s):

Karel Rektorys

Keyword(s):

Dirichlet Problem ◽

Least Squares ◽

Laplace Equation ◽

Biharmonic Equation ◽

Method Of Least Squares ◽

Trefftz Method

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