On Korns Inequality

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.

作 者： Philippe G. Ciarlet   作者單位： Department of Mathematics, City University of Hong Kong, 83 Tat Chee Avenue, Kowloon, Hong Kong,China  刊 名： 數學年刊B輯（英文版）  ISTIC SCI 英文刊名： CHINESE ANNALS OF MATHEMATICS,SERIES B  年，卷(期)： 2010 31(5)  分類號： O1  關鍵詞： Korn inequality   J.L.Lions lemma