A strong form of the quantitative Wulff inequality
Robin Neumayer
TL;DR
This paper establishes a strong quantitative version of the Wulff inequality, linking the isoperimetric deficit to boundary oscillation and asymmetry in anisotropic surface energies.
Contribution
It introduces a new quantitative inequality that tightly relates the isoperimetric deficit to boundary oscillation and asymmetry for anisotropic energies.
Findings
Quantitative bounds connecting deficit and asymmetry.
Control of boundary oscillation by isoperimetric deficit.
Enhanced understanding of anisotropic isoperimetric inequalities.
Abstract
Quantitative isoperimetric inequalities for anisotropic surface energies are shown where the isoperimetric deficit controls both the Fraenkel asymmetry and a measure of the oscillation of the boundary with respect to the boundary of the corresponding Wulff shape.
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