37 citations · 164 across the 28 of their papers we have counts for
4 papers · 1 filter
On functionals involving the -capacity and the -torsional rigidity
Michiel van den Berg, Nunzia Gavitone
Upper bounds are obtained for the -capacity of compact sets in , with and . Upper and lower bounds are obtained for the product of -capacity and powers…
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…
A sharp bound for the first Robin-Dirichlet eigenvalue
Nunzia Gavitone, Gianpaolo Piscitelli
In this paper, we study the first eigenvalue of the Laplacian on doubly connected domains when Robin and Dirichlet conditions are imposed on the outer and the inner part of the bou…
On a weighted anisotropic eigenvalue problem
Nunzia Gavitone, Rossano Sannipoli
In this paper we deal with a weighted eigenvalue problem for the anisotropic -Laplacian with Dirichlet boundary conditions. We study the main properties of the first eigenva…