On a Bonnesen type inequality involving the spherical deviation

DOI10.1016/j.matpur.2012.05.006zbMath1262.51017OpenAlexW1981456916MaRDI QIDQ694651

Nicola Fusco, Giovanni Pisante, Maria Stella Gelli

Publication date: 13 December 2012

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matpur.2012.05.006

zbMATH Keywords

geometric inequalitiescone conditionquantitative isoperimetric inequalitiesspherical deviation

Mathematics Subject Classification ID

Inequalities and extremum problems in real or complex geometry (51M16)

Related Items

The Stability of the Isoperimetric Inequality ⋮ Optimal polynomial admissible meshes on some classes of compact subsets of \(\mathbb{R}^d\) ⋮ The quantitative isoperimetric inequality and related topics ⋮ On the boundary of almost isoperimetric domains ⋮ Bonnesen's inequality for John domains in \(\mathbb R^n\) ⋮ A reverse quantitative isoperimetric type inequality for the Dirichlet Laplacian ⋮ Blaschke--Santaló Diagram for Volume, Perimeter, and First Dirichlet Eigenvalue

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• Some methods for studying stability in isoperimetric type problems
• A quantitative isoperimetric inequality in n-dimensional space.
• Stability in the Isoperimetric Problem for Convex or Nearly Spherical Domains in R n

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