Giorgio Stefani

activity

20162026

most citedA distributional approach to fractional Sobolev spaces and fractional variation: existence of blow-up

77 citations · 285 across the 27 of their papers we have counts for

collaborators

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6 papers · 1 filter

math.MG2023★ 1 cited

On the monotonicity of weighted perimeters of convex bodies

Giorgio Saracco, Giorgio Stefani

We prove that, among weighted isotropic perimeters, only constant multiples of the Euclidean perimeter satisfy the monotonicity property on nested convex bodies. Although the analo…

math.MG2022★ 13 cited

The Cheeger problem in abstract measure spaces

Valentina Franceschi, Andrea Pinamonti, Giorgio Saracco +1

We consider non-negative $σ$ -finite measure spaces coupled with a proper functional $P$ that plays the role of a perimeter. We introduce the Cheeger problem in this framework and e…

math.MG2021★ 1 cited

On the convex components of a set in $R^{n}$

Flavia Giannetti, Giorgio Stefani

We prove a lower bound on the number of the convex components of a compact set with non-empty interior in $R^{n}$ for all $n \geq 2$ . Our result generalizes and improves the in…

math.MG2020★ 2 cited

Generalized Bakry-Émery curvature condition and equivalent entropic inequalities in groups

Giorgio Stefani

We study a generalization of the Bakry-Émery pointwise gradient estimate for the heat semigroup and its equivalence with some entropic inequalities along the heat flow and Wasserst…

math.MG2016

On the monotonicity of perimeter of convex bodies

Giorgio Stefani

Let $n \geq 2$ and let $Φ : R^{n} \to [0, \infty)$ be a positively $1$ -homogeneous and convex function. Given two convex bodies $A \subset B$ in $R^{n}$ , the monotonicity…

math.MG2016★ 6 cited

Improved Lipschitz approximation of $H$ -perimeter minimizing boundaries

Roberto Monti, Giorgio Stefani

We prove two new approximation results of $H$ -perimeter minimizing boundaries by means of intrinsic Lipschitz functions in the setting of the Heisenberg group $H^{n}$ with $…

On the monotonicity of weighted perimeters of convex bodies

The Cheeger problem in abstract measure spaces

On the convex components of a set in Rn

Generalized Bakry-Émery curvature condition and equivalent entropic inequalities in groups

On the monotonicity of perimeter of convex bodies

Improved Lipschitz approximation of H-perimeter minimizing boundaries

On the convex components of a set in $R^{n}$

Improved Lipschitz approximation of $H$ -perimeter minimizing boundaries