1 citations · 1 across the 3 of their papers we have counts for
6 papers
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…
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…
Rectifiability of the singular set and uniqueness of tangent cones for semicalibrated currents
Paul Minter, Davide Parise, Anna Skorobogatova +1
We prove that the singular set of an -dimensional integral current in , semicalibrated by a -form is countably -rectifiable.…
Continuity and canceling operators of order on
Bogdan Raiţă, Anna Skorobogatova
We prove that for elliptic and canceling linear differential operators of order on , continuity of a map can be inferred from the fact that $\mat…