Biharmonic Green function and biharmonic Neumann function in a sector

被引：25

作者：

Wang, Ying ^{[1
]}

Ye, Liuqing ^{[2
]}

机构：

[1] FU Berlin, Math Inst, D-14195 Berlin, Germany

[2] Jiaozuo Teachers Coll, Dept Math, Jiaozou 454002, Peoples R China

来源：

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2013年 / 58卷 / 01期

关键词：

biharmonic Green function; biharmonic Neumann function; Neumann problem; Dirichlet problem; DIRICHLET PROBLEM;

D O I：

10.1080/17476933.2010.551199

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, a biharmonic Green function and a biharmonic Neumann function in a sector with angle =/n (nN) are studied, and then we investigate the related Dirichlet problem and Neumann problem for the bi-Poisson equation, respectively.

引用

页码：7 / 22

页数：16

共 14 条

[1]

Almansi Emilio., 1899, Ann. Mat. Pura Appl. (1898-1922), V2, P1, DOI DOI 10.1007/BF02419286

[2] Iterated Neumann problem for the higher order Poisson equation [J].

Begehr, H ;

Vanegas, CJ .

MATHEMATISCHE NACHRICHTEN, 2006, 279 (1-2) :38-57

[3]

Begehr H, 2008, MATEMATICHE, V63, P139

[4]

Begehr H., 2006, BIHARMONIC GREEN FUN, P395

[5]

Begehr H., 1994, COMPLEX ANAL METHODS

[6]

Begehr H., 2005, Bol. Aosc Math. Venezolana, V12, P65

[7]

Begehr H., 2008, Funct Spaces Complex Clifford Anal, V7, P243

[8]

Begehr H, 2007, GEORGIAN MATH J, V14, P33

[9] A Dirichlet problem for polyharmonic functions [J].

Begehr, Heinrich ;

Du, Jinyuan ;

Wang, Yufeng .

ANNALI DI MATEMATICA PURA ED APPLICATA, 2008, 187 (03) :435-457

[10] HARMONIC BOUNDARY VALUE PROBLEMS IN HALF DISC AND HALF RING [J].

Begehr, Heinrich ;

Vaitekhovich, Tatyana .

FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI, 2009, 40 (02) :251-282

← 1 2 →