14 citations · 19 across the 14 of their papers we have counts for
4 papers · 1 filter
A unified quantitative approach to Chiti and Kohler--Jobin inequalities
Vincenzo Amato, Luca Barbato, Emanuele Cristoforoni +4
We obtain two quantitative results related to classical rearrangement inequalities for the first Dirichlet eigenvalue. The first one is a quantitative version of Chiti's reverse Hö…
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 measu…
On the Effectless Cut Method for Laplacian Eigenvalues in any dimensions
Vincenzo Amato, Nunzia Gavitone, Francesca de Giovanni
In this paper, we study the optimization of the first Laplacian eigenvalue on axisymmetric doubly connected domains under positive Robin boundary conditions. Under additional geome…
On some functionals involving torsional rigidity, principal eigenvalue and perimeter
Vincenzo Amato, Carlo Nitsch, Cristina Trombetti +1
In this paper we study some relationships between the first Dirichlet eigenvalue and the torsional rigidity of a domain . We consider the problem of optimizing the…