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The anisotropic Michael-Simon inequality for surfaces in every codimension

Firester, Benjy et al.
arXiv (OAI Expanded) · Papers
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differential-geometry
We prove a Michael-Simon inequality for $2$-varifolds in $\mathbb{R}^N$, in arbitrary codimension, for anisotropies sufficiently close to the area functional. Building on the ideas of Almgren and De Philippis-Pigati, we introduce a projection method for anisotropic stress measures yielding geometric
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