A global bound for the singular set of area-minimizing hypersurfaces

2019/01/09 by Nick Edelen, Edelen, Nick
Computer Science · Mathematics · #Analysis of PDEs (math.AP) #Computational Geometry and Mesh Generation #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Point processes and geometric inequalities

paper · pdf · doi:10.48550/arxiv.1901.02837

openalex publication_date 2019/01/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

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