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math.AP2019
Uniqueness of critical points of the anisotropic isoperimetric problem for finite perimeter sets
Antonio De Rosa, Sławomir Kolasiński, Mario Santilli
Given an elliptic integrand of class , we prove that finite unions of disjoint open Wulff shapes with equal radii are the only volume-constrained critical points…
math.DG2019
Uniqueness of singular convex hypersurfaces with lower bounded k-th mean curvature
Mario Santilli
We obtain a sharp characterization of the Euclidean ball among all convex bodies K whose boundary has a pointwise k-th mean curvature not smaller than a geometric constant at almos…
math.AP2019
The spherical image of singular varieties of bounded mean curvature
Mario Santilli
In this paper we deal with singular varieties of bounded mean curvature in the viscosity sense. They contain all varifolds of bounded generalized mean curvature. In the first part…