A regularity theorem for minimizing hypersurfaces modulo 𝜈

Morgan, Frank

doi:10.1090/S0002-9947-1986-0849477-5

A regularity theorem for minimizing hypersurfaces modulo $\nu$
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Trans. Amer. Math. Soc. 297 (1986), 243-253 Request permission

Abstract:

It is proved that an $(n - 1)$-dimensional, area-minimizing flat chain modulo $\nu$ in ${{\mathbf {R}}^n}$, with smooth extremal boundary of at most $\nu /2$ components, has an interior singular set of Hausdorff dimension at most $n - 8$. Similar results hold for more general integrands.

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A regularity theorem for minimizing hypersurfaces modulo

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