TY - JOUR
T1 - On Korn's Inequality
AU - Ciarlet, Philippe G.
PY - 2010
Y1 - 2010
N2 - 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.
AB - 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.
KW - J. L. Lions lemma
KW - Korn inequality
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UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-77957925872&origin=recordpage
U2 - 10.1007/s11401-010-0606-3
DO - 10.1007/s11401-010-0606-3
M3 - RGC 21 - Publication in refereed journal
SN - 0252-9599
VL - 31
SP - 607
EP - 618
JO - Chinese Annals of Mathematics. Series B
JF - Chinese Annals of Mathematics. Series B
IS - 5
ER -