Quantitative stability in the isodiametric inequality via the isoperimetric inequality

DOI10.1090/S0002-9947-2013-06126-0zbMath1286.51012arXiv1104.4074OpenAlexW2025210421MaRDI QIDQ5401715

Aldo Pratelli, Marcello Ponsiglione, Francesco Maggi

Publication date: 12 March 2014

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.4074

zbMATH Keywords

geometric inequalitiesisodiametric inequality

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Euclidean analytic geometry (51N20) Inequalities and extremum problems in real or complex geometry (51M16)

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Conformal modulus and its reduction via mean curvatures ⋮ Sharp quantitative stability for isoperimetric inequalities with homogeneous weights ⋮ The Stability of the Isoperimetric Inequality ⋮ Better bounds for planar sets avoiding unit distances ⋮ Reverse Faber-Krahn inequality for a truncated Laplacian operator ⋮ The quantitative isoperimetric inequality and related topics ⋮ A maximum problem of S.-T. Yau for variational \(p\)-capacity

Cites Work

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• A $1 Problem
• The Brunn-Minkowski inequality
• Stability in the Isoperimetric Problem for Convex or Nearly Spherical Domains in R n

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