activity
20112020
most citedIsoperimetry and stability properties of balls with respect to nonlocal energies

135 citations · 217 across the 18 of their papers we have counts for

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Showing 2015Show all

5 papers · 1 filter

math.AP2015

On the shape of capillarity droplets in a container

Francesco Maggi, Cornelia Mihaila

We provide a quantitative description of global minimizers of the Gauss free energy for a liquid droplet bounded in a container in the small volume regime.

math.OC2015

Stability for the Brunn-Minkowski and Riesz rearrangement inequalities, with applications to Gaussian concentration and finite range non-local isoperimetry

Eric A. Carlen, Francesco Maggi

We provide a simple, general argument to obtain improvements of concentration-type inequalities starting from improvements of their corresponding isoperimetric-type inequalities. W…

math.AP2015★ 1 cited

Improved convergence theorems for bubble clusters. II. The three-dimensional case

Gian Paolo Leonardi, Francesco Maggi

Given a sequence of almost-minimizing clusters in which converges in to a limit cluster we prove the existence of $C^…

math.AP2015

On the shape of compact hypersurfaces with almost constant mean curvature

Giulio Ciraolo, Francesco Maggi

The distance of an almost constant mean curvature boundary from a finite family of disjoint tangent balls with equal radii is quantitatively controlled in terms of the oscillation…

math.AP2015

Rigidity and sharp stability estimates for hypersurfaces with constant and almost-constant nonlocal mean curvature

Giulio Ciraolo, Alessio Figalli, Francesco Maggi +1

We prove that the boundary of a (not necessarily connected) bounded smooth set with constant nonlocal mean curvature is a sphere. More generally, and in contrast with what happens…