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A Note on Weighted Korn Inequality

A Note on Weighted Korn Inequality
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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. Vat. Partial Differential Equations, 56, Art. 109, (2017)] to weighted settings. 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. Vat. Partial Differential Equations, 56, Art. 109, (2017)] to weighted settings.
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2018年第4期691-698,共8页 数学学报(英文版)
基金 Partially supported by NNSF of China(Grant No.11671039)
关键词 Korn inequality John domain WEIGHT separation property Korn inequality, John domain, weight, separation property
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