JournalscmhVol. 93, No. 4pp. 737–779

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

  • Camillo De Lellis

    Universität Zürich, Switzerland

  • Andrea Marchese

    Universität Zürich, Switzerland

  • Emanuele Spadaro

    Universität Leipzig, Germany

  • Daniele Valtorta

    Universität Zürich, Switzerland
Rectifiability and upper Minkowski bounds for singularities of harmonic $Q$-valued maps cover
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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