Inserted: 2 apr 2020
Last Updated: 2 apr 2020
Journal: Comm. Pure Appl. Math.
Let K be a convex polyhedron and F its Wul energy, and let C (K) denote the set of convex polyhedra close to K whose faces are parallel to those of K. We show that, for suciently small , all -minimizers belong to C (K). As a consequence of this result we obtain the following sharp stability inequality for crystalline norms: There exist = (K; n) > 0 and = (K; n) > 0 such that, whenever jEj = jKj and jEKj then F(E)