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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.AP2019
On the anisotropic Kirchhoff-Plateau problem
Antonio De Rosa, Luca Lussardi
We extend to the anisotropic setting the existence of solutions for the Kirchhoff-Plateau problem and its dimensional reduction.
math.AP2019
The Area Blow Up set for bounded mean curvature submanifolds with respect to elliptic surface energy functionals
Guido De Philippis, Antonio De Rosa, Jonas Hirsch
In this paper we investigate the "area blow-up" set of a sequence of smooth co-dimension one manifolds whose first variation with respect to an anisotropic integral is bounded. Fol…