1 citations · 4 across the 7 of their papers we have counts for
9 papers
Wetting theorems in capillarity theory
Francesco Maggi, Michael Novack, Daniel Restrepo
We prove the uniform convergence of Plateau borders to Plateau singularities in the vanishing-volume limit of a soap film model based on capillarity theory. The results are formula…
Minimizing clusters with prescribed asymptotic geometry
Robin Neumayer, Michael Novack, Anna Skorobogatova
We construct locally minimizing -clusters whose exterior interfaces are asymptotic to various prescribed singular area-minimizing cones. For , Bronsard & Novack…
On the non-uniqueness of locally minimizing clusters via singular cones
Lia Bronsard, Robin Neumayer, Michael Novack +1
We construct partitions of into three sets that locally minimize interfacial area among compactly supported volume…
Free boundary regularity for semilinear variational problems with a topological constraint
Michael Novack, Daniel Restrepo, Anna Skorobogatova
We study a class of semilinear free boundary problems in which admissible functions have a topological constraint, or spanning condition, on their 1-level set. This constraint…
An Infinite Double Bubble Theorem
Lia Bronsard, Michael Novack
The classical double bubble theorem characterizes the minimizing partitions of into three chambers, two of which have prescribed finite volume. In this paper we prov…
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…