Orlicz affine isoperimetric inequalities for star bodies
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Publication:2070087
DOI10.1016/j.aam.2021.102308zbMath1486.52021OpenAlexW4200543721MaRDI QIDQ2070087
Publication date: 21 January 2022
Published in: Advances in Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aam.2021.102308
Steiner symmetrizationaffine isoperimetric inequalitygraph functionsLipschitz star bodiesOrlicz Petty projection body
Cites Work
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- Stronger versions of the Orlicz-Petty projection inequality
- Dual Orlicz-Brunn-Minkowski theory
- The Orlicz centroid inequality for star bodies
- The affine Sobolev-Zhang inequality on BV(\(\mathbb R^n)\)
- \(\mathrm{SL}(n)\) invariant valuations on polytopes
- Sharp convex Lorentz-Sobolev inequalities
- An asymmetric affine Pólya-Szegő principle
- Minkowski valuations intertwining the special linear group
- Restricted chord projection and affine inequalities
- The perimeter inequality under Steiner symmetrization: cases of equality
- Orlicz centroid bodies
- The even Orlicz Minkowski problem
- General \(L_{p}\) affine isoperimetric inequalities
- Orlicz projection bodies
- Affine Moser-Trudinger and Morrey-Sobolev inequalities
- Steiner symmetrization is continuous in \(W^{1,p}\)
- The affine Sobolev inequality.
- \(L_ p\) affine isoperimetric inequalities.
- General volumes in the Orlicz-Brunn-Minkowski theory and a related Minkowski problem. I
- Sharp affine \(L_ p\) Sobolev inequalities.
- Projection bodies and valuations
- Surface bodies and \(p\)-affine surface area
- The Brunn-Minkowski-Firey theory. II: Affine and geominimal surface areas
- General volumes in the Orlicz-Brunn-Minkowski theory and a related Minkowski problem. II
- The dual Orlicz-Brunn-Minkowski theory
- Stability of the Steiner symmetrization of convex sets
- Affine Orlicz Pólya-Szegő principle for log-concave functions
- New \(L_p\) affine isoperimetric inequalities
- The Orlicz Brunn-Minkowski inequality
- Steiner symmetric extremals in Pólya-Szegő-type inequalities
- The Orlicz-Brunn-Minkowski theory: a general framework, additions, and inequalities
- \(L_{p}\) Minkowski valuations on polytopes
- Sets of Finite Perimeter and Geometric Variational Problems
- A General Isepiphanic Inequality
- Affine Orlicz Pólya–Szegö Principles and Their Equality Cases
- Convex Bodies The Brunn-MinkowskiTheory
- Implicit Functions and Optimization Problems without Continuous Differentiability of the Data
- Sharp isoperimetric inequalities for affine quermassintegrals