Sharp quantitative isoperimetric inequalities in the 𝐿¹ Minkowski plane

DOI10.1090/S0002-9939-10-10366-9zbMath1207.52007arXiv0907.4945MaRDI QIDQ3053512

Benoît R. Kloeckner

Publication date: 29 October 2010

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

Full work available at URL: https://arxiv.org/abs/0907.4945

zbMATH Keywords

Hausdorff metricisoperimetric inequalityHausdorff distancequantitative isoperimetric inequalityBonnesen inequalityextremal domainMinkowski \(L^1\)-plane

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Inequalities and extremum problems involving convexity in convex geometry (52A40) Length, area and volume in real or complex geometry (51M25) Inequalities and extremum problems in real or complex geometry (51M16)

Related Items (1)

Isoperimetric inequality on a metric measure space and Lipschitz order with an additive error

Cites Work

• Unnamed Item
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• A sharp isoperimetric inequality in the plane
• A mass transportation approach to quantitative isoperimetric inequalities
• A sharp isoperimetric inequality in the plane involving Hausdorff distance
• On Blaschke's extension of Bonnesen's inequality
• The isoperimetric theorem for general integrands
• The sharp quantitative isoperimetric inequality
• A quantitative isoperimetric inequality in n-dimensional space.
• Crystalline variational problems
• The isoperimetric inequality

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