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We prove that functions of locally bounded deformation on are -differentiable -almost everywhere. More generally, we show that this critical -differentiability result holds for functions of locally bounded -variation, provided that the first order, homogeneous differential operator has finite dimensional null-space.
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Franz Gmeineder, Bogdan Raiță, On critical -differentiability of BD-maps. Rev. Mat. Iberoam. 35 (2019), no. 7, pp. 2071–2078DOI 10.4171/RMI/1111