Tri- harmonic boundary value problems in a sector

被引：23

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

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