3 citations · 4 across the 3 of their papers we have counts for
4 papers
Regularity of minimal surfaces near quadratic cones
Nick Edelen, Luca Spolaor
Hardt-Simon proved that every area-minimizing hypercone having only an isolated singularity fits into a foliation of by smooth, area-minimizing hype…
A global bound for the singular set of area-minimizing hypersurfaces
Nick Edelen
We give an a priori bound on the (n-7)-dimensional measure of the singular set for an area-minimizing n-dimensional hypersurface, in terms of the geometry of its boundary.
Effective Reifenberg theorems in Hilbert and Banach spaces
Nicholas Edelen, Aaron Naber, Daniele Valtorta
The aim of this article is to study effective Reifenberg theorems for measures in a Hilbert or Banach space. For Hilbert spaces, we see all the results from continue…
The singular set of minimal surfaces near polyhedral cones
Maria Colombo, Nick Edelen, Luca Spolaor
We adapt the method of Simon [JDG '93] to prove a -regularity theorem for minimal varifolds which resemble a cone over an equiangular geodesic net. For varifo…