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

2016/12/06 by de Lellis, Camillo, Marchese, Andrea, Spadaro, Emanuele +1
#49N60 #49Q20 #53A10 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1612.01813

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.

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