A characterization of convex calibrable sets in

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The volume preserving crystalline mean curvature flow of convex sets in R^N (2009, background): “The following result, which shows the equivalence between three different ways of expressing the fact that a convex set has bounded crystalline curvature, is essentially contained in [14], though not explicitly stated there.”
Regularity for solutions of the total variation denoising problem (2011, background): “We also prove a global estimate on the modulus of continuity of the solution in convex domains of RN and some extensions of this result for the total variation minimization flow.”
An introduction to Total Variation for Image Analysis (2009, background): “An accurate study (see also [5, 4, 42]) shows that, if we define (for C = [0, 1]2) CR = ⋃”
Uniqueness of the Cheeger set of a convex body (2007, background): “In particular, C = C∗ if the supremum of κC on ∂C is strictly less than P(C)/|C |; this condition also implies C = C∗ by [Alter et al. 2005a].”
A characterization of convex calibrable sets in RN with respect to anisotropic norms (2008, background): “The extension of the above result for the euclidean perimeter and N ≥ 3 was proved in [1].”