14 papers
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 geometric properties of multi-operator two-phase elliptic measure
Max Goering, Anna Skorobogatova
We provide a structural characterization of a given boundary using two-phase elliptic measure in a multi-operator setting, extending to this novel setting results of Kenig, Preiss…
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…
Structure of two-dimensional mod area-minimizing currents near flat singularities: the codimension one case
Anna Skorobogatova, Luca Spolaor, Salvatore Stuvard
We obtain a fine structural result for two-dimensional mod area-minimizing currents of codimension one, close to flat singularities. Precisely, we show that, locally around an…
Hausdorff measure bounds for density- flat singularities of minimizing integral currents
Gianmarco Caldini, Anna Skorobogatova
In this article we prove that the set of flat singular points of locally highest density of area-minimizing integral currents of dimension and general codimension in a smooth R…