# Rectifiability and upper Minkowski bounds for singularities of harmonic $Q$-valued maps

created by marchese on 06 Dec 2016
modified by delellis on 17 Jul 2018

[BibTeX]

Accepted Paper

Inserted: 6 dec 2016
Last Updated: 17 jul 2018

Journal: To appear in Comm. Math. Helv.
Pages: 32
Year: 2016

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 $Q$.