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On Korn's Inequality in the Second Case

✍ Scribed by Alessandro Tiero


Book ID
110251431
Publisher
Springer Netherlands
Year
1999
Tongue
English
Weight
46 KB
Volume
54
Category
Article
ISSN
0374-3535

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The first Korn's inequality is extended to unbounded domains and to classes of functions having a singular point. Let B be a regular domain of R 3 and let H(B) be the set of all vector-valued functions on B such that u = 0 on 0B and x7u is square summable over B. As is well-known, the first Korn's