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math.AP2026
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…
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 we prove a sharp inequality involving the Laplacian torsional rigidity and both the perimeter and the measu…