Rossano Sannipoli

activity

20202026

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

16 citations · 16 across the 12 of their papers we have counts for

collaborators

16 papers

math.AP2026

Spectral geometry of the magnetic $p$ -Laplacian

David Krejčiřík, Rossano Sannipoli

We investigate the interplay between the geometry of a planar domain and the spectrum of the nonlinear $p$ -Laplacian, subject to a homogeneous magnetic field and Dirichlet boundary…

math.AP2026

The Makai inequality in higher dimensions: qualitative and quantitative aspects

Vincenzo Amato, Nunzia Gavitone, Rossano Sannipoli

In this paper, given a convex, bounded, open set $Ω \subset R^{n}$ we prove a sharp inequality involving the Laplacian torsional rigidity and both the perimeter and the measu…

math.AP2026

Geometrical bounds for the torsion and the first eigenvalue of the Laplacian with Robin boundary condition

Rosa Barbato, Alba Lia Masiello, Rossano Sannipoli

In this paper, we deal with functionals involving the torsion and the first eigenvalue of the Laplacian with Robin boundary conditions (to which we refer as Robin Torsion and Robin…

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.AP2025

Estimates for the first and second Steklov-Dirichlet eigenvalues

Rossano Sannipoli

In this paper, we deal with the Steklov-Dirichlet eigenvalue problem for the Laplacian in annular domains. More precisely, we consider $Ω_{r} = Ω_{0} ∖ B_{r}$ , where $…

math.AP2024

On the optimal sets in Pólya and Makai type inequalities

Vincenzo Amato, Nunzia Gavitone, Rossano Sannipoli

In this paper, we examine some shape functionals, introduced by Pólya and Makai, involving the torsional rigidity and the first Dirichlet-Laplacian eigenvalue for bounded, open and…

math.AP2024

On a 3D Stokes eigenvalue problem under Navier slip-with-friction boundary conditions and applications to Navier-Stokes equations

Luigi C. Berselli, Alessio Falocchi, Rossano Sannipoli

In this paper we consider, by means of a precise spectral analysis, the 3D Navier-Stokes equations endowed with Navier slip-with-friction boundary conditions. We study the problem…

math.AP2024

Energy conservation for 3D Euler and Navier-Stokes equations in a bounded domain. Applications to Beltrami flows

Luigi C. Berselli, Elisabetta Chiodaroli, Rossano Sannipoli

In this paper we consider the incompressible 3D Euler and Navier-Stokes equations in a smooth bounded domain. First, we study the 3D Euler equations endowed with slip boundary cond…

math.AP2024

Velocity-vorticity geometric constraints for the energy conservation of 3D ideal incompressible fluids

Luigi C. Berselli, Rossano Sannipoli

In this paper we consider the 3D Euler equations and we first prove a criterion for energy conservation for weak solutions with velocity satisfying additional assumptions in fracti…

math.AP2024

On a weighted anisotropic eigenvalue problem

Nunzia Gavitone, Rossano Sannipoli

In this paper we deal with a weighted eigenvalue problem for the anisotropic $(p, q)$ -Laplacian with Dirichlet boundary conditions. We study the main properties of the first eigenva…

math.AP2023

Some isoperimetric inequalities involving the boundary momentum

Domenico Angelo La Manna, Rossano Sannipoli

The aim of this paper is twofold. In the first part we focus on a functional involving a weighted curvature integral and the quermassintegrals. We prove upper and lower bounds for…

math.AP2022

On a Steklov-Robin eigenvalue problem

Nunzia Gavitone, Rossano Sannipoli

In this paper we study a Steklov-Robin eigenvalue problem for the Laplacian in annular domains. More precisely, we consider $Ω = Ω_{0} ∖ B_{r}$ , where $B_{r}$ is the…

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

Comparison results for the solutions to the anisotropic Laplacian with Robin boundary conditions

Rossano Sannipoli

In this paper we consider PDE's problems involving the anisotropic Laplacian operator, with Robin boundary conditions. By means of Talenti techniques, widely used in the last decad…

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

Some properties of the torsion function with Robin boundary conditions

Rossano Sannipoli

In this paper we study some properties of the torsion function with Robin boundary conditions. Here we write the shape derivative of the $L^{\infty}$ and $L^{p}$ norms, for $p \geq 1$ ,…

Spectral geometry of the magnetic p-Laplacian

The Makai inequality in higher dimensions: qualitative and quantitative aspects

Geometrical bounds for the torsion and the first eigenvalue of the Laplacian with Robin boundary condition

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

Estimates for the first and second Steklov-Dirichlet eigenvalues

On the optimal sets in Pólya and Makai type inequalities

On a 3D Stokes eigenvalue problem under Navier slip-with-friction boundary conditions and applications to Navier-Stokes equations

Energy conservation for 3D Euler and Navier-Stokes equations in a bounded domain. Applications to Beltrami flows

Velocity-vorticity geometric constraints for the energy conservation of 3D ideal incompressible fluids

On a weighted anisotropic eigenvalue problem

Some isoperimetric inequalities involving the boundary momentum

On a Steklov-Robin eigenvalue problem

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

Comparison results for the solutions to the anisotropic Laplacian with Robin boundary conditions

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

Some properties of the torsion function with Robin boundary conditions

Spectral geometry of the magnetic $p$ -Laplacian

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