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A Note on Weighted Korn Inequality

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Abstract

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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Authors and Affiliations

  1. School of Mathematical Sciences, Beijing Normal University, Laboratory of Mathematics and Complex Systems, Beijing, 100875, P. R. China

    Man Ru Jiang

  2. Center for Applied Mathematics, Tianjin University, Tianjin, 300072, P. R. China

    Ren Jin Jiang

Authors
  1. Man Ru Jiang
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  2. Ren Jin Jiang
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Correspondence to Ren Jin Jiang.

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Jiang, M.R., Jiang, R.J. A Note on Weighted Korn Inequality. Acta. Math. Sin.-English Ser. 34, 691–698 (2018). https://doi.org/10.1007/s10114-018-7310-8

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  • DOI: https://doi.org/10.1007/s10114-018-7310-8

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