We show an extension result for generalised special functions of bounded deformation (GSBDp, for every p > 1) and any dimension n ≥ 2. The proof is based on a recent result of F. Cagnetti, A. Chambolle, and L. Scardia, where it is shown that a function u in GSBDp with a “small” jump set coincides with a W1,p function, up to a small set whose perimeter and volume are controlled by the size of the jump of u.
|Journal||Journal of Convex Analysis|
|Early online date||2020|
|Publication status||Published - 2021|
- Free-discontinuity problems
- Functions of bounded deformation
- Griffith’s energy
ASJC Scopus subject areas