A note on the singular set of area-minimizing hypersurfaces
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526_2019_1660_ReferencePDF.pdf
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286.54 KB
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Checksum (MD5)
0505348ffc08ff5c18034f5279bc5841
Author(s)
Edelen, Nick
Date Issued
December 4, 2019
Publisher
Springer Berlin Heidelberg
Citation
Calculus of Variations and Partial Differential Equations. 2019 Dec 04;59(1):18
Version
Author's final manuscript
Abstract
Abstract
We prove an isoperimetric-type bound on the $$(n-7)$$(n-7)-dimensional measure of the singular set for a large class of area-minimizing n-dimensional hypersurfaces, in terms of the geometry of their boundary.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1007/s00526-019-1660-7
