Korn inequality on irregular domains

Published 4 Jul 2013 in math.CA and math.AP | (1307.1338v1)

Abstract: In this paper, we study the weighted Korn inequality on some irregular domains, e.g., $s$-John domains and domains satisfying quasi-hyperbolic boundary conditions. Examples regarding sharpness of the Korn inequality on these domains are presented. Moreover, we show that Korn inequalities imply certain Poincar\'e inequality.

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