9 papers
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 we prove a sharp inequality involving the Laplacian torsional rigidity and both the perimeter and the meas…
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…
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 of the…
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 an…
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 , where…
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…