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De Lellis, Camillo; Marchese, Andrea; Spadaro, Emanuele; Valtorta, Daniele (2018). Rectifiability and upper Minkowski bounds for singularities of harmonic $Q$-valued maps. Commentarii Mathematici Helvetici (CMH), 93(4):737-779.
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 $Q$.
| Item Type: | Journal Article, not_refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > General Mathematics |
| Uncontrolled Keywords: | General Mathematics |
| Language: | English |
| Date: | 20 November 2018 |
| Deposited On: | 17 Jan 2019 11:01 |
| Last Modified: | 20 Dec 2024 02:36 |
| Publisher: | European Mathematical Society |
| ISSN: | 0010-2571 |
| OA Status: | Green |
| Free access at: | Publisher DOI. An embargo period may apply. |
| Publisher DOI: | https://doi.org/10.4171/cmh/449 |
De Lellis, Camillo