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A Bourgain-Brezis-Mironescu representation for functions with bounded deformation

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اقرأ أكثر حفظ في قائمتي
  • معلومة اضافية
    • Contributors:
      Arroyo-Rabasa, Adolfo; Bonicatto, Paolo
    • الموضوع:
      2023
    • Collection:
      ARPI - Archivio della Ricerca dell'Università di Pisa
    • نبذة مختصرة :
      We establish a non-local integral difference quotient representation for symmetric gradient semi-norms in BD(Omega) and LD(Omega), which does not require the manipulation of distributional derivatives. Our representation extends the formulas for the symmetric gradient established by Mengesha for vector-fields in W-1,W-p (Omega; R-d), which are inspired by the gradient semi-norm formulas introduced by Bourgain, Brezis and Mironescu in W-1,W-p (Omega) and by Davila in BV (Omega).
    • Relation:
      info:eu-repo/semantics/altIdentifier/wos/WOS:000885100900002; volume:62; issue:1; numberofpages:22; journal:CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS; https://hdl.handle.net/11568/1273820
    • الرقم المعرف:
      10.1007/S00526-022-02350-0
    • الرقم المعرف:
      10.1007/s00526-022-02350-0
    • الدخول الالكتروني :
      https://hdl.handle.net/11568/1273820
      https://doi.org/10.1007/S00526-022-02350-0
      https://link.springer.com/article/10.1007/s00526-022-02350-0
    • Rights:
      info:eu-repo/semantics/openAccess
    • الرقم المعرف:
      edsbas.EE2ED747