4 papers · 1 filter
A Blake-Zisserman-Kirchhoff theory for plates with soft inclusions
Mario Santilli, Bernd Schmidt
We consider a two phase elastic thin film with soft inclusions subject to bending dominated deformations. The soft (void) phase may comprise asymptotically small droplets within th…
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…
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…