Rectifiability and upper Minkowski bounds for singularities of harmonic Q-valued maps
Analysis of PDEs
2020-10-14 v4
Abstract
In this article we prove that the singular set of Dirichlet-minimizing -valued functions is countably -rectifiable and we give upper bounds for the -dimensional Minkowski content of the set of singular points with multiplicity .
Cite
@article{arxiv.1612.01813,
title = {Rectifiability and upper Minkowski bounds for singularities of harmonic Q-valued maps},
author = {Camillo de Lellis and Andrea Marchese and Emanuele Spadaro and Daniele Valtorta},
journal= {arXiv preprint arXiv:1612.01813},
year = {2020}
}