14 citations · 15 across the 5 of their papers we have counts for
4 papers · 1 filter
Asymptotic behavior of a diffused interface volume-preserving mean curvature flow
Matteo Bonforte, Francesco Maggi, Daniel Restrepo
We consider a diffused interface version of the volume-preserving mean curvature flow in the Euclidean space, and prove, in every dimension and under natural assumptions on the ini…
Plateau borders in soap films and Gauss' capillarity theory
Francesco Maggi, Michael Novack, Daniel Restrepo
We provide, in the setting of Gauss' capillarity theory, a rigorous derivation of the equilibrium law for the three dimensional structures known as Plateau borders which arise in "…
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…