An Extension Result for Generalised Special Functions of Bounded Deformation

We show an extension result for generalised special functions of bounded deformation ($GSBD^p$, for every $p>1$) and any dimension $n\geq 2$. The proof is based on a recent result of F. Cagnetti, A. Chambolle, and L. Scardia, showing that a function $u$ in $GSBD^p$ with a ``small'' jump set coincides with a $W^{1,p}$ function, up to a small set whose perimeter and volume are controlled by the size of the jump of $u$.