32 citations · 130 across the 34 of their papers we have counts for
6 papers · 1 filter
Subgraphs of functions on spaces
Gioacchino Antonelli, Camillo Brena, Enrico Pasqualetto
In this work we extend classical results for subgraphs of functions of bounded variation in to the setting of , where $\m…
Asymptotic isoperimetry on non collapsed spaces with lower Ricci bounds
Gioacchino Antonelli, Enrico Pasqualetto, Marco Pozzetta +1
This paper studies sharp and rigid isoperimetric comparison theorems and asymptotic isoperimetric properties for small and large volumes on -dimensional spaces…
The Rank-One Theorem on spaces
Gioacchino Antonelli, Camillo Brena, Enrico Pasqualetto
We extend Alberti's Rank-One Theorem to metric measure spaces.
On rectifiable measures in Carnot groups: Marstrand-Mattila rectifiability criterion
Gioacchino Antonelli, Andrea Merlo
In this paper we continue the study of the notion of -rectifiability in Carnot groups. We say that a Radon measure is -rectifiable, for ,…
The isoperimetric problem via direct method in noncompact metric measure spaces with lower Ricci bounds
Gioacchino Antonelli, Stefano Nardulli, Marco Pozzetta
We establish a structure theorem for minimizing sequences for the isoperimetric problem on noncompact spaces . Under the sole (nec…
Sharp isoperimetric comparison on non-collapsed spaces with lower Ricci bounds
Gioacchino Antonelli, Enrico Pasqualetto, Marco Pozzetta +1
This paper studies sharp isoperimetric comparison theorems and sharp dimensional concavity properties of the isoperimetric profile for non smooth spaces with lower Ricci curvature…