TitleRectifiability and upper Minkowski bounds for singularities of harmonic Q-valued maps
Publication TypeJournal Article
Year of Publication2018
AuthorsDe Lellis C., Marchese A., Spadaro E., Valtorta D.
JournalCommentarii Mathematici Helvetici (CMH)
Volume93
Pagination737–779
Date PublishedNovember
PublisherComment. Math. Helv.
Type of ArticleQ-valued
ISSN0010-2571
KeywordsGeneral Mathematics
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\$.

Notes

Comment. Math. Helv. 93 (2018) no. 4, 737-779

URLhttps://www.ems-ph.org/journals/show_issue.php?issn=0010-2571&vol=93&iss=4
DOI10.4171/cmh/449
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