On Korn's Inequality

被引：44
|
作者：
Ciarlet, Philippe G. [1 ]
机构：
[1] City Univ Hong Kong, Dept Mathemat, Kowloon, Hong Kong, Peoples R China
来源：
CHINESE ANNALS OF MATHEMATICS SERIES B | 2010年 / 31卷 / 05期
关键词：
Korn inequality; J. L. Lions lemma;
D O I：
10.1007/s11401-010-0606-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The author first reviews the classical Korn inequality and its proof. Following recent works of S. Kesavan, P. Ciarlet, Jr., and the author, it is shown how the Korn inequality can be recovered by an entirely different proof. This new proof hinges on appropriate weak versions of the classical Poincare and Saint-Venant lemma. In fine, both proofs essentially depend on a crucial lemma of J. L. Lions, recalled at the beginning of this paper.
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页码：607 / 618
页数：12
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