3 citations · 3 across the 4 of their papers we have counts for
5 papers
On the approximation of finite perimeter sets
Alessandro Carbotti, Simone Cito, Domenico Angelo La Manna +2
We prove that if is a set with finite perimeter with , then any set of finite perimeter $E\subseteq\m…
On blow-ups of sets with finite fractional variation
Giorgio Stefani
Given and a set with locally finite fractional -variation, we show that for -a.e. , every non-trivial tangent set of …
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 -convergence sense, together with a compactness criterion for energy-bounde…
On the monotonicity of non-local perimeter of convex bodies
Flavia Giannetti, Giorgio Stefani
Under mild assumptions on the kernel , the non-local -perimeter satisfies the monotonicity property on nested convex bodies, i.e., if $A\subset B\subset\mathbb{R}^n…
On the Steiner property for planar minimizing clusters. The isotropic case
Valentina Franceschi, Aldo Pratelli, Giorgio Stefani
We consider the isoperimetric problem for clusters in the plane with a double density, that is, perimeter and volume depend on two weights. In this paper we consider the isotropic…