On Korn's Inequality
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 607-618 |
| Journal / Publication | Chinese Annals of Mathematics. Series B |
| Volume | 31 |
| Issue number | 5 |
| Publication status | Published - 2010 |
Link(s)
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 appropriate weak versions of the classical Poincaré 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. © 2010 Editorial Office of CAM (Fudan University) and Springer Berlin Heidelberg.
Research Area(s)
- J. L. Lions lemma, Korn inequality
Citation Format(s)
On Korn's Inequality. / Ciarlet, Philippe G.
In: Chinese Annals of Mathematics. Series B, Vol. 31, No. 5, 2010, p. 607-618.
In: Chinese Annals of Mathematics. Series B, Vol. 31, No. 5, 2010, p. 607-618.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
