Publication: Rectifiability and upper Minkowski bounds for singularities of harmonic $Q$-valued maps
Rectifiability and upper Minkowski bounds for singularities of harmonic $Q$-valued maps
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De Lellis, C., Marchese, A., Spadaro, E., & Valtorta, D. (2018). Rectifiability and upper Minkowski bounds for singularities of harmonic $Q$-valued maps. Commentarii Mathematici Helvetici (CMH), 93(4), 737–779. https://doi.org/10.4171/cmh/449
Abstract
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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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- De Lellis, Camillo
- Marchese, Andrea
- Spadaro, Emanuele
- Valtorta, Daniele
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Citations
De Lellis, C., Marchese, A., Spadaro, E., & Valtorta, D. (2018). Rectifiability and upper Minkowski bounds for singularities of harmonic $Q$-valued maps. Commentarii Mathematici Helvetici (CMH), 93(4), 737–779. https://doi.org/10.4171/cmh/449
