26 citations · 60 across the 7 of their papers we have counts for
8 papers · 1 filter
Non-polyconvex -integrands with lower semicontinuous energies
Daniele De Gennaro, Antonio De Rosa
For any fixed , we construct a positive measure on the space of positively oriented -vectors in , whose barycenter is a simple -vector, yet whic…
Rigidity of critical points of hydrophobic capillary functionals
Antonio De Rosa, Robin Neumayer, Reinaldo Resende
We prove the rigidity, among sets of finite perimeter, of volume-preserving critical points of the capillary energy in the half space, in the case where the prescribed interior con…
A nonlocal approximation of the Gaussian perimeter: Gamma convergence and Isoperimetric properties
Antonio De Rosa, Domenico Angelo La Manna
We study a non local approximation of the Gaussian perimeter, proving the Gamma convergence to the local one. Surprisingly, in contrast with the local setting, the halfspace turns…
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…
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.
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…
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…
On the lower semicontinuous envelope of functionals defined on polyhedral chains
Maria Colombo, Antonio De Rosa, Andrea Marchese +1
In this note we prove an explicit formula for the lower semicontinuous envelope of some functionals defined on real polyhedral chains. More precisely, denoting by $H \colon \mathbb…