3 papers
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.AP2018
Equivalence of the ellipticity conditions for geometric variational problems
Antonio De Rosa, Sławomir Kolasiński
We exploit the so called atomic condition, recently defined by De Philippis, De Rosa, and Ghiraldin in [Comm. Pure Appl. Math.] and proved to be necessary and sufficient for the va…
math.CA2016
Estimating discrete curvatures in terms of beta numbers
Sławomir Kolasiński
For an arbitrary Radon measure we estimate the integrated discrete curvature of in terms of its centred variant of Jones' beta numbers. We farther relate integrals of centr…