The Stability of the Isoperimetric Inequality

DOI10.1007/978-3-319-54514-1_2zbMath1432.35008OpenAlexW2618496275MaRDI QIDQ5282937

Nicola Fusco

Publication date: 17 July 2017

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-54514-1_2

zbMATH Keywords

finite perimeterAlexandrov rigidity theorem

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Inequalities involving derivatives and differential and integral operators (26D10) Differential geometry of webs (53A60) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Related Items (5)

Sharp and quantitative estimates for the \(p\)-torsion of convex sets ⋮ A reciprocity principle for constrained isoperimetric problems and existence of isoperimetric subregions in convex sets ⋮ Isoperimetric, Sobolev, and eigenvalue inequalities via the Alexandroff-Bakelman-Pucci method: a survey ⋮ The Petty projection inequality for sets of finite perimeter ⋮ A reverse quantitative isoperimetric type inequality for the Dirichlet Laplacian

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