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A quantitative version of the isoperimetric inequality: the anisotropic case. (English) Zbl 1170.52300
Summary: We state and prove a stability result for the anisotropic version of the isoperimetric inequality. Namely if \(E\) is a set with small anisotropic isoperimetric deficit, then \(E\) is “close” to the Wulff shape set.

52A40 Inequalities and extremum problems involving convexity in convex geometry
28A75 Length, area, volume, other geometric measure theory
Full Text: EuDML
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