A note on the singular set of area-minimizing hypersurfaces

Abstract We prove an isoperimetric-type bound on the $$(n-7)$$(n-7)-dimensional measure of the singular set for a large class of area-minimizing n-dimensional hypersurfaces, in terms of the geometry of their boundary.

Bibliographic Details
Main Author: Edelen, Nick
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:English
Published: Springer Berlin Heidelberg 2021
Online Access:https://hdl.handle.net/1721.1/131358