135 citations · 217 across the 18 of their papers we have counts for
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A sharp quantitative version of Hales' isoperimetric honeycomb theorem
Marco Caroccia, Francesco Maggi
We prove a sharp quantitative version of Hales' isoperimetric honeycomb theorem by exploiting a quantitative isoperimetric inequality for polygons and an improved convergence theor…
A direct approach to Plateau's problem
Camillo De Lellis, Francesco Ghiraldin, Francesco Maggi
We provide a compactness principle which is applicable to different formulations of Plateau's problem in codimension one and which is exclusively based on the theory of Radon measu…
Improved convergence theorems for bubble clusters. I. The planar case
Marco Cicalese, Gian Paolo Leonardi, Francesco Maggi
We describe a quantitative construction of almost-normal diffeomorphisms between embedded orientable manifolds with boundary to be used in the study of geometric variational proble…
Dimensional estimates for singular sets in geometric variational problems with free boundaries
Guido De Philippis, Francesco Maggi
We show that singular sets of free boundaries arising in codimension one anisotropic geometric variational problems are -negligible, where is the ambient spa…
Isoperimetry and stability properties of balls with respect to nonlocal energies
Alessio Figalli, Nicola Fusco, Francesco Maggi +2
We obtain a sharp quantitative isoperimetric inequality for nonlocal -perimeters, uniform with respect to bounded away from . This allows us to address local and global m…