Korn inequality on irregular domains
Classical Analysis and ODEs
2013-07-05 v1 Analysis of PDEs
Abstract
In this paper, we study the weighted Korn inequality on some irregular domains, e.g., -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.
Keywords
Cite
@article{arxiv.1307.1338,
title = {Korn inequality on irregular domains},
author = {Renjin Jiang and Aapo Kauranen},
journal= {arXiv preprint arXiv:1307.1338},
year = {2013}
}