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arXiv · 2608.31168

The anisotropic Michael-Simon inequality for surfaces in every codimension

Benjy Firester·Raphael Tsiamis
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Abstract

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 inequalities that apply in arbitrary dimension and codimension.

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Benjy Firester, Raphael Tsiamis. 2026-08-31. The anisotropic Michael-Simon inequality for surfaces in every codimension. https://arxiv.org/abs/2608.31168

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