A. Carbotti

activity

20242026

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 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 $I^^{2} \in R ∖ {0}$ the Robin parameter), we consider shape minimization problems if $I^^{2} > 0$ …

math.AP2024

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…

On the approximation of finite perimeter sets

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

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

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