Resumen de On critical Lp-differentiability of BD-maps

Franz Gmeineder, Bogdan Raiță

• 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.