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math.DG2019★ 1 cited
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…
math.DG2019
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.
math.DG2017★ 3 cited
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…