Korn inequality on irregular domains

被引：10
|
作者：
Jiang, Renjin [1 ]
Kauranen, Aapo [2 ]
机构：
[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
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2015年 / 423卷 / 01期
关键词：
Korn inequality; Divergence equation; Poincare inequality; s-John domain; Quasihyperbolic metric; QUASIHYPERBOLIC BOUNDARY-CONDITIONS; DIVERGENCE OPERATOR; POINCARE INEQUALITY; HOLDER DOMAINS; JOHN DOMAINS; COUNTEREXAMPLES; FRIEDRICHS;
D O I：
10.1016/j.jmaa.2014.09.076
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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.
引用
收藏
页码：41 / 59
页数：19
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