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| On Korn’s Inequality |
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Citation： |
Philippe G. CIARLET.On Korn’s Inequality[J].Chinese Annals of Mathematics B,2010,31(5):607~618 |
| Page view： 2362
Net amount： 1228 |
Authors： |
Philippe G. CIARLET; |
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| Abstract： |
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 ap-
propriate weak versions of the classical Poincar′e 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. |
Keywords： |
Korn inequality, J. L. Lions lemma |
Classification： |
49N10, 49N15, 74B99 |
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