Affine Pólya-Szegő inequality on Steiner rearrangement in any codimension
type: Item
instance of: scholarly article
title: Affine Pólya-Szegő inequality on Steiner rearrangement in any codimension
zbMATH Open document ID: 1495.46024
author: Youjiang Lin
published in: Science China. Mathematics
publication date: 2022-03-15T00:00:00Z
Mathematics Subject Classification ID: 46E35
Mathematics Subject Classification ID: 46E30
Mathematics Subject Classification ID: 52A40
zbMATH DE Number: 7490479
zbMATH Keywords: Pólya-Szegő inequality
zbMATH Keywords: Steiner symmetrization
zbMATH Keywords: Schwarz spherical symmetrization
zbMATH Keywords: affine isoperimetric inequality
MaRDI profile type: Publication
full work available at URL: s11425-020-1760-2
OpenAlex ID: W3192435349
cites work: Symmetric Decreasing Rearrangement Is Sometimes Continuous
cites work: Q4954179
cites work: Stability of the Steiner symmetrization of convex sets
cites work: Stability of Pólya-Szegő inequality for log-concave functions
cites work: Stronger versions of the Orlicz-Petty projection inequality
cites work: The log-Brunn-Minkowski inequality
cites work: Q3771040
cites work: Cases of equality in the Riesz rearrangement inequality
cites work: Steiner symmetrization is continuous in \(W^{1,p}\)
cites work: On the extremals of the Polya-Szego inequality
cites work: The Steiner rearrangement in any codimension
cites work: Second-order derivatives and rearrangements
cites work: On Some Aspects of the Theory of Orlicz–Sobolev Spaces
cites work: A quantitative Pólya-Szegö principle
cites work: Functions of bounded variation and rearrangements
cites work: Minimal rearrangements, strict convexity and critical points
cites work: Steiner symmetric extremals in Pólya-Szegő-type inequalities
cites work: Affine Moser-Trudinger and Morrey-Sobolev inequalities
cites work: Higher-order Sobolev embeddings and isoperimetric inequalities
cites work: Q5178046
cites work: The sharp quantitative isoperimetric inequality
cites work: The Brunn-Minkowski inequality
cites work: Q3409343
cites work: The Orlicz-Brunn-Minkowski theory: a general framework, additions, and inequalities
cites work: The dual Orlicz-Brunn-Minkowski theory
cites work: Affine inequalities and radial mean bodies
cites work: Q4210546
cites work: Convex and Discrete Geometry
cites work: The even Orlicz Minkowski problem
cites work: The Centro-Affine Hadwiger Theorem
cites work: Asymmetric affine \(L_p\) Sobolev inequalities
cites work: An asymmetric affine Pólya-Szegő principle
cites work: Q5480316
cites work: Analysis.
cites work: Affine Orlicz Pólya-Szegő principle for log-concave functions
cites work: Smoothness of the Steiner symmetrization
cites work: The affine Orlicz Pólya-Szegő principle on \(BV(\Omega )\)
cites work: Convex bodies with minimal volume product in \(\mathbb{R}^2\) -- a new proof
cites work: Affine Orlicz Pólya–Szegö Principles and Their Equality Cases
cites work: General affine surface areas
cites work: A characterization of affine surface area
cites work: \(\mathrm{SL}(n)\) invariant valuations on polytopes
cites work: Sharp convex Lorentz-Sobolev inequalities
cites work: The Brunn-Minkowski-Firey theory. I: Mixed volumes and the Minkowski problem
cites work: The Brunn-Minkowski-Firey theory. II: Affine and geominimal surface areas
cites work: \(L_ p\) affine isoperimetric inequalities.
cites work: Sharp affine \(L_ p\) Sobolev inequalities.
cites work: The Cramer-Rao inequality for star bodies
cites work: Volume inequalities for subspaces of \(L_p\)
cites work: Optimal Sobolev norms and the Lp Minkowski problem
cites work: Orlicz projection bodies
cites work: Orlicz centroid bodies
cites work: A volume inequality for polar bodies
cites work: Q3995421
cites work: New approach to the affine Pólya-Szegö principle and the stability version of the affine Sobolev inequality
cites work: Isoperimetric Inequalities in Mathematical Physics. (AM-27)
cites work: Convex Bodies The Brunn-MinkowskiTheory
cites work: Q4274028
cites work: The affine Sobolev-Zhang inequality on BV(\(\mathbb R^n)\)
cites work: The affine Sobolev inequality.
cites work: Weakly Differentiable Functions
DOI: 10.1007/S11425-020-1760-2

Affine Pólya-Szegő inequality on Steiner rearrangement in any codimension (Recommended article)
Recommended article: The Steiner rearrangement in any codimension
Similarity Score: 0.90460485
Recommender Run: Recommender Run 3

Affine Pólya-Szegő inequality on Steiner rearrangement in any codimension (Recommended article)
Recommended article: Steiner symmetric extremals in Pólya-Szegő-type inequalities
Similarity Score: 0.8849085
Recommender Run: Recommender Run 3

Affine Pólya-Szegő inequality on Steiner rearrangement in any codimension (Recommended article)
Recommended article: Poincaré inequalities and Steiner symmetrization
Similarity Score: 0.8757655
Recommender Run: Recommender Run 3

Affine Pólya-Szegő inequality on Steiner rearrangement in any codimension (Recommended article)
Recommended article: An inequality for Steiner systems
Similarity Score: 0.8756074
Recommender Run: Recommender Run 3

Affine Pólya-Szegő inequality on Steiner rearrangement in any codimension (Recommended article)
Recommended article: Steiner symmetrization: a weighted version of Pólya--Szegő principle
Similarity Score: 0.8713269
Recommender Run: Recommender Run 3

Affine Pólya-Szegő inequality on Steiner rearrangement in any codimension (Recommended article)
Recommended article: Q3625148
Similarity Score: 0.86923516
Recommender Run: Recommender Run 3

Affine Pólya-Szegő inequality on Steiner rearrangement in any codimension (Recommended article)
Recommended article: An inequality for Steiner systems. II
Similarity Score: 0.86344033
Recommender Run: Recommender Run 3

Affine Pólya-Szegő inequality on Steiner rearrangement in any codimension (Recommended article)
Recommended article: Some inequalities for Steiner systems
Similarity Score: 0.86162204
Recommender Run: Recommender Run 3

Affine Pólya-Szegő inequality on Steiner rearrangement in any codimension (Recommended article)
Recommended article: A proof of the Gilbert-Pollak conjecture on the Steiner ratio
Similarity Score: 0.85941416
Recommender Run: Recommender Run 3

Affine Pólya-Szegő inequality on Steiner rearrangement in any codimension (Recommended article)
Recommended article: A tight lower bound for the Steiner ratio in Minkowski planes
Similarity Score: 0.8576322
Recommender Run: Recommender Run 3