Giorgio Stefani

collaborators

3 papers

math.FA2026

On the approximation of finite perimeter sets

Alessandro Carbotti, Simone Cito, Domenico Angelo La Manna +2

We prove that if $I^c ◯ \subseteq R^{N}$ is a set with finite perimeter with $H^{N - 1} (\partial I^c ◯ ∖ \partial^{*} I^c ◯) = 0$ , then any set of finite perimeter $E\subsete…

math.AP2025

On blow-ups of sets with finite fractional variation

Giorgio Stefani

Given $I^\pm \in (0, 1)$ and a set $E \subset R^{N}$ with locally finite fractional $I^\pm$ -variation, we show that for $∣ D^{I^} \pm 1_{E} ∣$ -a.e. $x$ , every non-trivial tangent set of $…

math.AP2025

On a weighted version of the BBM formula

Giorgio Stefani

We prove a weighted version of the Bourgain-Brezis-Mironescu (BBM) formula, both in the pointwise and $I^$ -convergence sense, together with a compactness criterion for energy-bound…