Published Paper
Inserted: 6 dec 2016
Last Updated: 1 dec 2020
Journal: Comm. Math. Helv.
Volume: 93
Number: 4
Pages: 737-779
Year: 2018
Abstract:
In this article we prove that the singular set of Dirichlet-minimizing $Q$-valued functions is countably $(m − 2)$-rectifiable and we give upper bounds for the $(m − 2)$-dimensional Minkowski content of the set of singular points with multiplicity $Q$.
Keywords: Rectifiability, regularity, Dirichlet energy, Multiple-valued functions, Singularities
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