Korn inequality on irregular domains |
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| Authors: | Renjin Jiang Aapo Kauranen |
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| Affiliation: | 1. School of Mathematical Sciences, Beijing Normal University, Laboratory of Mathematics and Complex Systems, Beijing 100875, People''s Republic of China;2. Department of Mathematics and Statistics, University of Jyväskylä, P.O. Box 35 (MaD), FI-40014, Finland |
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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 quasihyperbolic 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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| Keywords: | Korn inequality Divergence equation Poincaré inequality s-John domain Quasihyperbolic metric |
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