Rectifiability and upper Minkowski bounds for singularities of harmonic -valued maps
Camillo De Lellis
Universität Zürich, SwitzerlandAndrea Marchese
Universität Zürich, SwitzerlandEmanuele Spadaro
Universität Leipzig, GermanyDaniele Valtorta
Universität Zürich, Switzerland
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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 this article
Camillo De Lellis, Andrea Marchese, Emanuele Spadaro, Daniele Valtorta, Rectifiability and upper Minkowski bounds for singularities of harmonic -valued maps. Comment. Math. Helv. 93 (2018), no. 4, pp. 737–779
DOI 10.4171/CMH/449