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A note on the singular set of area-minimizing hypersurfaces

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Abstract

We prove an isoperimetric-type bound on the \((n-7)\)-dimensional measure of the singular set for a large class of area-minimizing n-dimensional hypersurfaces, in terms of the geometry of their boundary.

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Correspondence to Nick Edelen.

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Communicated by C. de Lellis.

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Edelen, N. A note on the singular set of area-minimizing hypersurfaces. Calc. Var. 59, 18 (2020). https://doi.org/10.1007/s00526-019-1660-7

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