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arXiv · 1612.01813

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

Camillo de Lellis·Andrea Marchese·Emanuele Spadaro·Daniele Valtorta
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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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Camillo de Lellis, Andrea Marchese, Emanuele Spadaro, Daniele Valtorta. 2016-12-06. Rectifiability and upper Minkowski bounds for singularities of harmonic Q-valued maps. https://arxiv.org/abs/1612.01813

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