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math.AP2021
Sharp and quantitative estimates for the Torsion of convex sets
Vincenzo Amato, Alba Lia Masiello, Gloria Paoli +1
Let , , be a bounded, open and convex set and let be a positive and non-increasing function depending only on the distance from the boundary of $…
math.AP2021
A reverse quantitative isoperimetric type inequality for the Dirichlet Laplacian
Gloria Paoli
A stability result in terms of the perimeter is obtained for the first Dirichlet eigenvalue of the Laplacian operator. In particular, we prove that, once we fix the dimension $n\ge…
math.AP2021
An isoperimetric inequality for the first Steklov-Dirichlet Laplacian eigenvalue of convex sets with a spherical hole
Nunzia Gavitone, Gloria Paoli, Gianpaolo Piscitelli +1
In this paper we prove the existence of a maximum for the first Steklov-Dirichlet eigenvalue in the class of convex sets with a fixed spherical hole under volume constraint. More p…