Rigidity for perimeter inequalities under symmetrization: state of the art and open problems
DOI10.4171/PM/2022zbMath1427.49046OpenAlexW2918370577WikidataQ127738519 ScholiaQ127738519MaRDI QIDQ2313597
Publication date: 19 July 2019
Published in: Portugaliae Mathematica. Nova Série (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4171/pm/2022
Euclidean isoperimetric inequalityHausdorff measuregeometric measure theorycoarea formulaGaussian perimeterSteiner symmetrizationrectifiable setdegree of asymmetrydensity pointsymmetrization procedureEhrhard symmetrizationessential connectednessperimeter inequalitybarycenter functionFederer's theoremGaussian isoperimetric problemgeneralized function of bounded variation
Variational problems in a geometric measure-theoretic setting (49Q20) Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Inequalities and extremum problems involving convexity in convex geometry (52A40) Length, area, volume, other geometric measure theory (28A75) Length, area, volume and convex sets (aspects of convex geometry) (52A38) Integration of real functions of several variables: length, area, volume (26B15) Other analytical inequalities (26D20)
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