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arXiv · 1307.1338

Korn inequality on irregular domains

Renjin Jiang·Aapo Kauranen
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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 Poincaré inequality.

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Renjin Jiang, Aapo Kauranen. 2013-07-04. Korn inequality on irregular domains. https://arxiv.org/abs/1307.1338

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