On critical ${\mathrm{L}}^p$-differentiability of $\mathrm{BD}$-maps

Franz Gmeineder, Bogdan Raita

We prove that functions of locally bounded deformation on ${\mathbb{R}}^n$ are ${\mathrm{L}}^{n/(n-1)}$-differentiable almost everywhere. More generally, we show that this critical $\m…