Tri- harmonic boundary value problems in a sector

被引：22

作者：

Wang, Ying ^{[1
]}

机构：

[1] Zhongnan Univ Econ & Law, Sch Math & Stat, Wuhan 430074, Peoples R China

来源：

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2014年 / 59卷 / 05期

关键词：

Tri-harmonic Green function; Tri-harmonic Neumann function; Dirichlet problem; Neumann problem; DIRICHLET PROBLEM; EQUATION;

D O I：

10.1080/17476933.2012.759566

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is devoted to the construction of a tri-harmonic Green function and a tri-harmonic Neumann function in a sector with angle theta=pi/n(n >= 1, n is an element of N) explicitly, as well as a tri-harmonic Neumann function in the unit disk. Then the related Dirichlet and Neumann problems for the tri-Poisson equation are discussed, respectively.

引用

页码：732 / 749

页数：18

共 17 条

[1] Abdymanapov S., 2009, World Sci, P1137, DOI [10.1142/9789812835635_0109, DOI 10.1142/9789812835635_0109]
[2] Iterated Neumann problem for the higher order Poisson equation
Begehr, H
Vanegas, CJ
[J]. MATHEMATISCHE NACHRICHTEN, 2006, 279 (1-2) : 38 - 57
[3] Begehr H, 2008, MATEMATICHE, V63, P139
[4] Begehr H., 1994, COMPLEX ANAL METHODS
[5] Begehr H., 2005, Bol. Asoc. Mat. Venez, V12, P217
[6] Begehr H, 2007, GEORGIAN MATH J, V14, P33
[7] A Dirichlet problem for polyharmonic functions
Begehr, Heinrich
Du, Jinyuan
Wang, Yufeng
[J]. ANNALI DI MATEMATICA PURA ED APPLICATA, 2008, 187 (03) : 435 - 457
[8] HARMONIC BOUNDARY VALUE PROBLEMS IN HALF DISC AND HALF RING
Begehr, Heinrich
Vaitekhovich, Tatyana
[J]. FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI, 2009, 40 (02) : 251 - 282
[9] Begehr H, 2006, MATEMATICHE, V61, P395
[10] BURGUMBAYEVA S, 2009, THESIS FU BERLIN BER

← 1 2 →