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

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

De Lellis, C.;
2018-01-01

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
2018
Multiple-valued functions, Dirichlet energy, rectifiability, singularities, regularity.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.12571/40225
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