Random Steiner symmetrizations of sets and functions
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Publication:1942222
DOI10.1007/s00526-012-0493-4zbMath1277.60025OpenAlexW2024690783MaRDI QIDQ1942222
Publication date: 18 March 2013
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00526-012-0493-4
Geometric probability and stochastic geometry (60D05) Inequalities and extremum problems involving convexity in convex geometry (52A40)
Related Items (9)
On iterations of Steiner symmetrizations ⋮ Random Symmetrizations of Convex Bodies ⋮ Convergence of symmetrization processes ⋮ The equality cases in Steiner's projection inequality ⋮ Rigidity for measurable sets ⋮ Convergence properties of symmetrization processes ⋮ Isomorphic Steiner symmetrization of \(p\)-convex sets ⋮ The Petty projection inequality for sets of finite perimeter ⋮ The affine Orlicz Pólya-Szegő principle on \(BV(\Omega )\)
Cites Work
- A countable set of directions is sufficient for Steiner symmetrization
- The perimeter inequality under Steiner symmetrization: cases of equality
- Approximation of symmetrizations and symmetry of critical points
- Orlicz centroid bodies
- Steiner symmetrization is continuous in \(W^{1,p}\)
- Isomorphic Steiner symmetrization
- Steiner symmetrals and their distance from a ball
- A general rearrangement inequality for multiple integrals
- Random polarizations
- Einfache Herleitung der isoperimetrischen Ungleichung für abgeschlossene Punktmengen
- Su una teoria generale della misura \((r-1)\)-dimensionale in uno spazio ad \(r\) dimensioni
- The isoperimetric inequality
- Rapid Steiner Symmetrization of Most of a Convex Body and the Slicing Problem
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