1 citations · 4 across the 7 of their papers we have counts for
4 papers · 1 filter
A hierarchy of Plateau problems and the approximation of Plateau's laws via the Allen--Cahn equation
Francesco Maggi, Michael Novack, Daniel Restrepo
We introduce a diffused interface formulation of the Plateau problem, where the Allen--Cahn energy is minimized under a volume constraint and a spann…
On the relaxation of Gauss's capillarity theory under spanning conditions
Michael Novack
We study a variational model for soap films in which the films are represented by sets with fixed small volume rather than surfaces. In this problem, a minimizing sequence of compl…
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 "…
Rigidity and large volume residues in exterior isoperimetry for convex sets
Nicola Fusco, Francesco Maggi, Massimiliano Morini +1
A comparison theorem by Choe, Ghomi and Ritoré states that the exterior isoperimetric profile of any convex body in lies above that of…