3 citations · 3 across the 12 of their papers we have counts for
13 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…
Relations between principal eigenvalue and torsional rigidity with Robin boundary conditions
Giuseppe Buttazzo, Simone Cito, Francesco Solombrino
We consider the torsional rigidity and the principal eigenvalue related to the Laplace operator with Dirichlet and Robin boundary conditions. The goal is to find upper and lower bo…
A quantitative Talenti-type comparison result with Robin boundary conditions
Vincenzo Amato, Rosa Barbato, Simone Cito +2
The purpose of this paper is to establish a quantitative version of the Talenti comparison principle for solutions to the Poisson equation with Robin boundary conditions. This quan…
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 the Robin parameter), we consider shape minimization problems if a…
Optimality and stability of the radial shapes for the Sobolev trace constant
Simone Cito
In this work we establish the optimality and the stability of the ball for the Sobolev trace operator among convex sets of prescribed per…
Minimization of the -th eigenvalue of the Robin-Laplacian with perimeter constraint
Simone Cito, Alessandro Giacomini
In this paper we address the problem of the minimization of the -th Robin eigenvalue with parameter among bounded open Lipschitz sets with prescribed perimeter.…
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…
Minimization of the buckling load of a clamped plate with perimeter constraint
Michele Carriero, Simone Cito, Antonio Leaci
We look for minimizers of the buckling load problem with perimeter constraint in any dimension. In dimension 2, we show that the minimizing plates are convex; in higher dimension,…
A stability result for the first Robin-Neumann eigenvalue: A double perturbation approach
Simone Cito, Gloria Paoli, Gianpaolo Piscitelli
Let , , where and are two open, bounded and convex sets such that and let be a given…
Local Regularity of very weak -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 -harmonic function in the unit ball is smooth. As a first step, we improve the local summability properti…
Asymptotics of the -fractional Gaussian perimeter as
Alessandro Carbotti, Simone Cito, Domenico Angelo La Manna +1
We study the asymptotic behaviour of the renormalised -fractional Gaussian perimeter of a set inside a domain as . Contrary to the Euclidean case, as the Gauss…
Gamma-convergence of fractional Gaussian perimeter
Alessandro Carbotti, Simone Cito, Domenico Angelo La Manna +1
We prove the -convergence of the renormalised fractional Gaussian -perimeter to the Gaussian perimeter as . Our definition of fractional perimeter comes from that o…
A quantitative dimension free isoperimetric inequality for the fractional Gaussian perimeter
Alessandro Carbotti, Simone Cito, Domenico Angelo La Manna +1
We prove a quantitative isoperimetric inequality for the Gaussian fractional perimeter using extension techniques. Though the exponent of the Fraenkel asymmetry is not sharp, the c…