4 papers · 1 filter
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…
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…
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…
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…