On critical Lp-differentiability of BD-maps

• Franz Gmeineder ^[2] ; Bogdan Raiță ^[1]
  1. [1] University of Warwick

     University of Warwick

     Reino Unido

     
  2. [2] Universität Bonn
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 35, Nº 7, 2019, págs. 2071-2078
• Idioma: inglés
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• Resumen

  • We prove that functions of locally bounded deformation on Rn are Ln/(n−1)-differentiable Ln-almost everywhere. More generally, we show that this critical Lp-differentiability result holds for functions of locally bounded A-variation, provided that the first order, homogeneous differential operator A has finite dimensional null-space.