4 papers
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…
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…
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…
ABP inequalities for singular submanifolds of bounded mean curvature
Mario Santilli
Employing a notion of curvature for arbitrary closed sets we prove an ABP-type estimate for a class of singular submanifolds of arbitrary codimension and bounded mean curvature rec…