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A note on the first Korn's inequality

✍ Scribed by Remigio Russo

Publisher: Springer Netherlands
Year: 1986
Tongue: English
Weight: 91 KB
Volume: 16
Category: Article
ISSN: 0374-3535
DOI: 10.1007/bf00041069

No coin nor oath required. For personal study only.

✦ Synopsis

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 inequality [1] assures that, if B is bounded, then, Vu ~ H(B) A Ct(B),

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