A strong form of the quantitative Wulff inequality for crystalline norms

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发表日期：

2024年7月13日

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Kenneth DeMason

摘要

Quantitative stability for crystalline anisotropic perimeters, with control on the oscillation of the boundary with respect to the corresponding Wulff shape, is proven for $n\ge 3$ $n \geq 3$ . This extends a result of Neumayer (SIAM J Math Anal 48:172–1772, 2016) in $n=2$ $n = 2$ .