37 citations · 164 across the 28 of their papers we have counts for
4 papers · 1 filter
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…
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…
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 with , we consider the Robin-Laplacian torsional rigidity $τ_α(Ω)…