Korn inequality on irregular domains

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:423

Article

Jiang, Renjin¹  Kauranen, Aapo² 

[1] Beijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Beijing 100875, Peoples R China

[2] Univ Jyvaskyla, Dept Math & Stat, FI-40014 Jyvaskyla, Finland

关键词: Korn inequality;    Divergence equation;    Poincare inequality;    s-John domain;    Quasihyperbolic metric;   

DOI  :  10.1016/j.jmaa.2014.09.076

来源: Elsevier

【 摘 要 】

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 Poincare inequality. (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

Free