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. ...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.展开更多
基金Partially supported by NNSF of China(Grant No.11671039)
文摘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.