An optimal geometric condition on domains for boundary differentiability of solutions of elliptic equations

被引：6

作者：

Li, Dongsheng ^{[1
]}

Zhang, Kai ^{[1
]}

机构：

[1] Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Peoples R China

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2013年 / 254卷 / 09期

关键词：

Elliptic equations; Boundary differentiability; Optimal geometric condition; DIRICHLET PROBLEM;

D O I：

10.1016/j.jde.2013.02.002

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, a geometric condition on domains will be given which guarantees the boundary differentiability of solutions of elliptic equations, that is, the solutions are differentiable at any boundary point. We will show that this geometric condition is optimal. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：3765 / 3793

页数：29

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