A Note on Weighted Korn Inequality

被引:0
|
作者
Man Ru Jiang
Ren Jin Jiang
机构
[1] Beijing Normal University,School of Mathematical Sciences
[2] Laboratory of Mathematics and Complex Systems,Center for Applied Mathematics
[3] Tianjin University,undefined
关键词
Korn inequality; John domain; weight; separation property; 35A23; 26D15;
D O I
暂无
中图分类号
学科分类号
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.
引用
收藏
页码:691 / 698
页数:7
相关论文
共 50 条
  • [41] Weighted Korn and Poincaré-Korn Inequalities in the Euclidean Space and Associated Operators
    Kleber Carrapatoso
    Jean Dolbeault
    Frédéric Hérau
    Stéphane Mischler
    Clément Mouhot
    Archive for Rational Mechanics and Analysis, 2022, 243 : 1565 - 1596
  • [42] Korn’s inequality and John domains
    Renjin Jiang
    Aapo Kauranen
    Calculus of Variations and Partial Differential Equations, 2017, 56
  • [43] On Korn's inequality in the second case
    Dipartimento di Ingegneria Civile, Universita di Roma 'Tor Vergata', via della Ricerca Scientifica, 00133 Roma, Italy
    J Elast, 3 (187-191):
  • [44] Weighted Korn inequalities on John domains
    Lopez-Garcia, Fernando
    STUDIA MATHEMATICA, 2018, 241 (01) : 17 - 39
  • [45] Weighted korn inequalities in paraboloidal domains
    S. A. Nazarov
    Mathematical Notes, 1997, 62 : 629 - 641
  • [46] Weighted Korn inequalities in paraboloidal domains
    Nazarov, SA
    MATHEMATICAL NOTES, 1997, 62 (5-6) : 629 - 641
  • [47] Weighted Korn and Poincare-Korn Inequalities in the Euclidean Space and Associated Operators
    Carrapatoso, Kleber
    Dolbeault, Jean
    Herau, Frederic
    Mischler, Stephane
    Mouhot, Clement
    ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2022, 243 (03) : 1565 - 1596
  • [48] A note on weighted Ingham's inequality for families of exponentials with no gap
    Roventa, Ionel
    Temereanca, Laurentiu Emanuel
    Tudor, Mihai Adrian
    2020 24TH INTERNATIONAL CONFERENCE ON SYSTEM THEORY, CONTROL AND COMPUTING (ICSTCC), 2020, : 43 - 48
  • [49] Korn's inequality in anisotropic Sobolev spaces
    Benavides, Gonzalo A.
    Dominguez-Rivera, Sebastian A.
    JOURNAL OF APPLIED ANALYSIS, 2023, 29 (02) : 367 - 377
  • [50] Analogues of Korn’s Inequality on Heisenberg Groups
    D. V. Isangulova
    Doklady Mathematics, 2019, 99 : 181 - 184