A Riemannian version of Korn's inequality

被引：26

作者：

Chen, WY

Jost, J

机构：

[1] Max Planck Inst Math Sci, D-04103 Leipzig, Germany

[2] Wuhan Univ, Dept Math, Wuhan 430072, Peoples R China

来源：

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2002年 / 14卷 / 04期

关键词：

Mathematics Subject Classification (1991): 73C02, 53B20;

D O I：

10.1007/s005260100113

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove a Korn type inequality for vector fields on a Riemann manifold. This inequality includes the special cases proved in the literature for domains in R-3. If the domain is convex, we can considerably weaken the needed assumption on the boundary values.

引用

页码：517 / 530

页数：14

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