The anisotropic Michael-Simon inequality for surfaces in every codimension
Benjy Firester, Raphael Tsiamis
Abstract
We prove a Michael-Simon inequality for 2-varifolds in RN, 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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