Lp polyharmonic Dirichlet problems in regular domains IV: The upper-half space

被引：4

作者：

Du, Zhihua ^{[1
]}

Qian, Tao ^{[2
]}

Wang, Jinxun ^{[2
]}

机构：

[1] Jinan Univ, Dept Math, Guangzhou 510632, Guangdong, Peoples R China

[2] Univ Macau, Fac Sci & Technol, Dept Math, Taipa, Peoples R China

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2013年 / 255卷 / 05期

关键词：

Polyharmonic functions; Dirichlet problems; Higher order Poisson kernels; Integral representation; POTENTIAL-THEORY; RIEMANNIAN-MANIFOLDS; LIPSCHITZ-DOMAINS; EQUATION; HARDY;

D O I：

10.1016/j.jde.2013.04.035

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we consider a class of Dirichlet problems with L-p boundary data for polyharmonic functions in the upper-half space. By introducing a sequence of new kernel functions for the upper-half space, called higher order Poisson kernels, integral representation solutions of the problems are provided. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：779 / 795

页数：17