Inserted: 6 dec 2016
Last Updated: 17 jul 2018
Journal: To appear in Comm. Math. Helv.
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