Strictly convex Wulff shapes and $C^1$ convex integrands

Abstract

In this paper, it is shown that a Wulff shape is strictly convex if and only if its convex integrand is of class $C^1$. Moreover, applications of this result are given.

11 pages, 6 figures

References in corpus (1)

• The spherical dual transform is an isometry for spherical Wulff shapes

Cited by in corpus (1)

• Uniqueness of the surface energy density for a Wulff shape with $C^1$ boundary