I. Fragalà

activity

20092025

most citedOn the Dirichlet and Serrin problems for the inhomogeneous infinity Laplacian in convex domains: Regularity and geometric results

25 citations · 127 across the 25 of their papers we have counts for

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math.MG2021

Rigidity for measurable sets

Dorin Bucur, Ilaria Fragalà

Let $Ω \subset R^{d}$ be a set with finite Lebesgue measure such that, for a fixed radius $r > 0$ , the Lebesgue measure of $Ω \cap B_{r} (x)$ is equal to a positive constant when…

math.MG2017

Proof of the Honeycomb Asymptotics for Optimal Cheeger Clusters

Dorin Bucur, Ilaria Fragala

We prove that, in the limit as $k \to + \infty$ , the hexagonal honeycomb solves the optimal partition problem in which the criterion is minimizing the largest among the Cheeger cons…

math.MG2012

Quermassintegrals of quasi-concave functions and generalized Prékopa-Leindler inequalities

Sergey Bobkov, Andrea Colesanti, Ilaria Fragalà

We extend to a functional setting the concept of quermassintegrals, well-known within the Minkowski theory of convex bodies. We work in the class of quasi-concave functions defined…