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Inserted: 16 sep 2026
Last Updated: 9 nov 2026

Year: 2026

Abstract:

We consider $m$-dimensional currents in $\mathbb{R}^{m+1}$ that almost minimize an anisotropic energy whose integrand is continuous in the space variable and $C^{2,{\rm Dini}}$ in the normal variable. We prove that if the boundary of such a current is differentiable, then the current admits a flat blowup at every boundary point.

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• anisotropicflatblowups.pdf