A. Carbotti

activity

20182026

most citedLocal density of solutions of time and space fractional equations

8 citations · 8 across the 11 of their papers we have counts for

collaborators

12 papers

math.FA2026

On the approximation of finite perimeter sets

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

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

math.AP2025

On the optimization of the Robin eigenvalues in some classes of polygons

Alessandro Carbotti, Simone Cito, Diego Pallara

Given the eigenvalue problem for the Laplacian with Robin boundary conditions, (with $β \in R ∖ {0}$ the Robin parameter), we consider shape minimization problems if $β > 0$ a…

math.AP2023

Stability of the Gaussian Faber-Krahn inequality

Alessandro Carbotti, Simone Cito, Domenico Angelo La Manna +1

We prove a quantitative version of the Gaussian Faber-Krahn type inequality proved by Betta, Chiacchio and Ferone for the first Dirichlet eigenvalue of the Ornstein-Uhlenbeck opera…

math.AP2022

Local Regularity of very weak $s$ -harmonic functions via fractional difference quotients

Alessandro Carbotti, Simone Cito, Domenico Angelo La Manna +1

The aim of this paper is to give a new proof that any very weak $s$ -harmonic function $u$ in the unit ball $B$ is smooth. As a first step, we improve the local summability properti…

math.AP2022

Local Density of Solutions to Fractional Equations

Alessandro Carbotti, Serena Dipierro, Enrico Valdinoci

The study of nonlocal operators of fractional type possesses a long tradition, motivated both by mathematical curiosity and by real world applications...

math.AP2021

Asymptotics of the $s$ -fractional Gaussian perimeter as $s \to 0^{+}$

Alessandro Carbotti, Simone Cito, Domenico Angelo La Manna +1

We study the asymptotic behaviour of the renormalised $s$ -fractional Gaussian perimeter of a set $E$ inside a domain $Ω$ as $s \to 0^{+}$ . Contrary to the Euclidean case, as the Gauss…

On the approximation of finite perimeter sets

On the optimization of the Robin eigenvalues in some classes of polygons

Stability of the Gaussian Faber-Krahn inequality

Local Regularity of very weak s-harmonic functions via fractional difference quotients

Local Density of Solutions to Fractional Equations

Asymptotics of the s-fractional Gaussian perimeter as s→0+

Local Regularity of very weak $s$ -harmonic functions via fractional difference quotients

Asymptotics of the $s$ -fractional Gaussian perimeter as $s \to 0^{+}$