Boundary differentiability of solutions of elliptic equations on convex domains

被引：22

作者：

Li, Dongsheng ^{[1
]}

Wang, Lihe

机构：

[1] Xian Jiaotong Univ, Coll Sci, Xian 710049, Peoples R China

[2] Univ Iowa, Dept Math, Iowa City, IA 52242 USA

来源：

MANUSCRIPTA MATHEMATICA | 2006年 / 121卷 / 02期

关键词：

D O I：

10.1007/s00229-006-0032-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The boundary differentiability is shown for solutions of elliptic differential equations in non-divergence form on convex domains. Counterexamples are given to illustrate that the result is optimal in the sense that gradients of solutions exist but may be discontinuous along boundaries.

引用

页码：137 / 156

页数：20

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