Gloria Paoli

activity

20182026

most citedA stability result for the Steklov Laplacian Eigenvalue Problem with a spherical obstacle

21 citations · 56 across the 18 of their papers we have counts for

collaborators

20 papers

math.SP2026

A reverse Faber--Krahn inequality for the Robin Laplacian with negative boundary parameter: small coupling in all dimensions

Nunzia Gavitone, David Krejcirik, Gloria Paoli

We establish Bareket's conjecture from 1977 for convex domains in all dimensions in the regime of weak boundary coupling. In other words, we consider the Laplace operator, subject…

math.AP2026

Anisotropic gradient rearrangement of BV functions and applications

Gloria Paoli, Yabo Yang

In this paper, we introduce a symmetrization technique for the distributional gradient of a function of bounded variation in the anisotropic setting. This generalizes the result ob…

math.AP2026

Sharp bounds and geometric properties of the first non trivial Steklov Neumann Eigenvalue

Sagar Basak, Gloria Paoli, Rossano Sannipoli +1

In this article, we study the mixed Steklov--Neumann eigenvalue problem on doubly connected domains. First, we show that among all doubly connected domains in $R^{n}$ of the…

math.OC2026

Sharp estimates for the Laplacian torsional rigidity with negative Robin boundary conditions

Nunzia Gavitone, David Krejcirik, Gloria Paoli

Motivated by pioneering works of Bandle and Wagner, given a bounded Lipschitz domain $Ω \subset R^{d}$ with $d \geq 3$ , we consider the Robin-Laplacian torsional rigidity $τ_α(Ω)…

math.NA2023

Finite element approximation of the Hardy constant

Francesco Della Pietra, Giovanni Fantuzzi, Liviu I. Ignat +3

We consider finite element approximations to the optimal constant for the Hardy inequality with exponent $p = 2$ in bounded domains of dimension $n = 1$ or $n \geq 3$ . For finite eleme…

math.AP2023

A remark on solutions to semilinear equations with Robin boundary conditions

Antonio Celentano, Alba Lia Masiello, Gloria Paoli

Symmetry properties of solutions to elliptic quasilinear equations have been widely studied in the context of Dirichlet boundary conditions. We show that, in the context of Robin b…

math.AP2023★ 3 cited

A stability result for the first Robin-Neumann eigenvalue: A double perturbation approach

Simone Cito, Gloria Paoli, Gianpaolo Piscitelli

Let $Ω = Ω_{0} ∖ Θ \subset R^{n}$ , $n \geq 2$ , where $Ω_{0}$ and $Θ$ are two open, bounded and convex sets such that $Θ \subset Ω_{0}$ and let $β < 0$ be a given…

math.AP2023

Rigidity results for the $p$ -Laplacian Poisson problem with Robin boundary conditions

Alba Lia Masiello, Gloria Paoli

Let $Ω \subset R^{n}$ be an open, bounded and Lipschitz set. We consider the Poisson problem for the $p -$ Laplace operator associated to $Ω$ with Robin boundary conditions. In…

math.AP2022

A Rigidity Result for the Robin Torsion Problem

Alba Lia Masiello, Gloria Paoli

Let $Ω \subset R^{2}$ be an open, bounded and Lipschitz set. We consider the torsion problem for the Laplace operator associated to $Ω$ with Robin boundary conditions. In thi…

math.AP2022

Sharp inequalities involving the Cheeger constant of planar convex sets

Ilias Ftouhi, Alba Lia Masiello, Gloria Paoli

We are interested in finding sharp bounds for the Cheeger constant $h$ via different geometrical quantities, namely the area $∣ \cdot ∣$ , the perimeter $P$ , the inradius $r$ , the cir…

math.AP2021

Sharp and quantitative estimates for the $p -$ Torsion of convex sets

Vincenzo Amato, Alba Lia Masiello, Gloria Paoli +1

Let $Ω \subset R^{n}$ , $n \geq 2$ , be a bounded, open and convex set and let $f$ be a positive and non-increasing function depending only on the distance from the boundary of $…

math.AP2021

A reverse quantitative isoperimetric type inequality for the Dirichlet Laplacian

Gloria Paoli

A stability result in terms of the perimeter is obtained for the first Dirichlet eigenvalue of the Laplacian operator. In particular, we prove that, once we fix the dimension $n\ge…

math.AP2021★ 16 cited

An isoperimetric inequality for the first Steklov-Dirichlet Laplacian eigenvalue of convex sets with a spherical hole

Nunzia Gavitone, Gloria Paoli, Gianpaolo Piscitelli +1

In this paper we prove the existence of a maximum for the first Steklov-Dirichlet eigenvalue in the class of convex sets with a fixed spherical hole under volume constraint. More p…

math.AP2020

An estimate for the anisotropic maximum curvature in the planar case

Gloria Paoli

We fix a Finsler norm $F$ and, using the anisotropic curvature flow, we prove that the anisotropic maximum curvature $k_{m a x}^{F}$ of a smooth Jordan curve is such that $ k^F_{\max}…

math.AP2020

The orthotropic $p$ -Laplace eigenvalue problem of Steklov type as $p \to + \infty$

Giacomo Ascione, Gloria Paoli

We study the Steklov eigenvalue problem for the $\infty -$ orthotropic Laplace operator defined on convex sets of $R^{N}$ , with $N \geq 2$ , considering the limit for $p\to+\inft…

math.AP2020★ 21 cited

A stability result for the Steklov Laplacian Eigenvalue Problem with a spherical obstacle

Gloria Paoli, Gianpaolo Piscitelli, Rossano Sannipoli

In this paper we study the first Steklov-Laplacian eigenvalue with an internal fixed spherichal obstacle. We prove that the spherical shell locally maximizes the first eigenvalue a…

math.AP2019★ 15 cited

Sharp estimates for the first $p$ -Laplacian eigenvalue and for the $p$ -torsional rigidity on convex sets with holes

Gloria Paoli, Gianpaolo Piscitelli, Leonardo Trani

We study, in dimension $n \geq 2$ , the eigenvalue problem and the torsional rigidity for the $p$ -Laplacian on convex sets with holes, with external Robin boundary conditions and inte…

math.AP2019★ 1 cited

A quantitative Weinstock inequality

Nunzia Gavitone, Domenico Angelo La Manna, Gloria Paoli +1

The paper is devoted to the study of a quantitative Weinstock inequality in higher dimension for the first non trivial Steklov eigenvalue of Laplace operator for convex sets. The k…

math.AP2018

Two estimates for the first Robin eigenvalue of the Finsler Laplacian with negative boundary parameter

Gloria Paoli, Leonardo Trani

We prove two bounds for the first Robin eigenvalue of the Finsler Laplacian with negative boundary parameter in the planar case. In the constant area problem, we show that the Wulf…

math.AP2018

Anisotropic Isoperimetric Inequalities involving Boundary Momentum, Perimeter and Volume

Gloria Paoli, Leonardo Trani

We consider a scale invariant functional involving the anisotropic $p -$ momentum, the anisotropic perimeter and the volume. We show that the Wulff shape, associated with the Finsler…

A reverse Faber--Krahn inequality for the Robin Laplacian with negative boundary parameter: small coupling in all dimensions

Anisotropic gradient rearrangement of BV functions and applications

Sharp bounds and geometric properties of the first non trivial Steklov Neumann Eigenvalue

Sharp estimates for the Laplacian torsional rigidity with negative Robin boundary conditions

Finite element approximation of the Hardy constant

A remark on solutions to semilinear equations with Robin boundary conditions

A stability result for the first Robin-Neumann eigenvalue: A double perturbation approach

Rigidity results for the p-Laplacian Poisson problem with Robin boundary conditions

A Rigidity Result for the Robin Torsion Problem

Sharp inequalities involving the Cheeger constant of planar convex sets

Sharp and quantitative estimates for the p−Torsion of convex sets

A reverse quantitative isoperimetric type inequality for the Dirichlet Laplacian

An isoperimetric inequality for the first Steklov-Dirichlet Laplacian eigenvalue of convex sets with a spherical hole

An estimate for the anisotropic maximum curvature in the planar case

The orthotropic p-Laplace eigenvalue problem of Steklov type as p→+∞

A stability result for the Steklov Laplacian Eigenvalue Problem with a spherical obstacle

Sharp estimates for the first p-Laplacian eigenvalue and for the p-torsional rigidity on convex sets with holes

A quantitative Weinstock inequality

Two estimates for the first Robin eigenvalue of the Finsler Laplacian with negative boundary parameter

Anisotropic Isoperimetric Inequalities involving Boundary Momentum, Perimeter and Volume

Rigidity results for the $p$ -Laplacian Poisson problem with Robin boundary conditions

Sharp and quantitative estimates for the $p -$ Torsion of convex sets

The orthotropic $p$ -Laplace eigenvalue problem of Steklov type as $p \to + \infty$

Sharp estimates for the first $p$ -Laplacian eigenvalue and for the $p$ -torsional rigidity on convex sets with holes