A Note on Weighted Korn Inequality

被引：1
|
作者：
Jiang, Man Ru [1 ]
Jiang, Ren Jin [2 ]
机构：
[1] Beijing Normal Univ, Lab Math & Complex Syst, Sch Math Sci, Beijing 100875, Peoples R China
[2] Tianjin Univ, Ctr Appl Math, Tianjin 300072, Peoples R China
来源：
ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2018年 / 34卷 / 04期
关键词：
Korn inequality; John domain; weight; separation property; JOHN DOMAINS; IRREGULAR DOMAINS; POINCARE; DIVERGENCE; THEOREMS;
D O I：
10.1007/s10114-018-7310-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this note, we show that, for domains satisfying the separation property, certain weighted Korn inequality is equivalent to the John condition. Our result generalizes previous result from Jiang-Kauranen [Calc. Var. Partial Differential Equations, 56, Art. 109, (2017)] to weighted settings.
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页码：691 / 698
页数：8
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