The \(L_p\) chord Minkowski problem
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Publication:2685131
DOI10.1515/ans-2022-0041OpenAlexW4316014707MaRDI QIDQ2685131
Dongmeng Xi, Gaoyong Zhang, Deane Yang, Yiming Zhao
Publication date: 19 February 2023
Published in: Advanced Nonlinear Studies (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/ans-2022-0041
\(L_p\) Minkowski problem\(L_p\) surface area measurechord integral\(L_p\) chord measure\(L_p\) chord Minkowski problemchord measure
Related Items (2)
The \(L_p\) chord Minkowski problem for negative \(p\) ⋮ Nonuniqueness of solutions to the \(L_p\) chord Minkowski problem
Cites Work
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- Sharp affine Sobolev type inequalities via the \(L_{p}\) Busemann-Petty centroid inequality
- Dar's conjecture and the log-Brunn-Minkowski inequality
- The log-Brunn-Minkowski inequality
- The dual Minkowski problem for negative indices
- \(\mathrm{SL}(n)\) invariant valuations on polytopes
- Hermitian integral geometry
- The Brunn-Minkowski-Firey theory. I: Mixed volumes and the Minkowski problem
- Geometric measures in the dual Brunn-Minkowski theory and their associated Minkowski problems
- The even Orlicz Minkowski problem
- General \(L_{p}\) affine isoperimetric inequalities
- Intersection bodies and dual mixed volumes
- On the Busemann-Petty problem for perturbations of the ball
- A positive solution to the Busemann-Petty problem in \(\mathbb{R}^4\)
- An analytic solution to the Busemann-Petty problem on sections of convex bodies
- The Christoffel-Minkowski problem. I: Convexity of solutions of a Hessian equation
- Ellipsoids and matrix-valued valuations
- On the \(p\)-affine surface area
- A new ellipsoid associated with convex bodies
- The \(L^p\)-Busemann-Petty centroid inequality
- The affine Sobolev inequality.
- \(L_ p\) affine isoperimetric inequalities.
- Existence of solutions to the even dual Minkowski problem
- General volumes in the Orlicz-Brunn-Minkowski theory and a related Minkowski problem. I
- On the \(L_p\) dual Minkowski problem
- The \(L_p\)-Aleksandrov problem for \(L_p\)-integral curvature
- \(L_{p}\) dual curvature measures
- \(L^p\) Christoffel-Minkowski problem: the case \(1< p<k+1\)
- Sharp affine \(L_ p\) Sobolev inequalities.
- A positive answer to the Busemann-Petty problem in three dimensions
- Surface bodies and \(p\)-affine surface area
- The Brunn-Minkowski-Firey theory. II: Affine and geominimal surface areas
- Curvature relations and affine surface area for a general convex body and its polar
- The Minkowski problem in Gaussian probability space
- On the \(L^p\) Aleksandrov problem for negative \(p\)
- Dual mixed volumes
- General volumes in the Orlicz-Brunn-Minkowski theory and a related Minkowski problem. II
- Flow by Gauss curvature to the Aleksandrov and dual Minkowski problems
- The dual Minkowski problem for symmetric convex bodies
- Affine images of isotropic measures
- Asymmetric affine \(L_p\) Sobolev inequalities
- On the \(L_{p}\) Minkowski problem for polytopes
- The \(L_p\)-Minkowski problem and the Minkowski problem in centroaffine geometry
- OnLp-Affine Surface Area and Curvature Measures
- The Gauss Image Problem
- Stochastic and Integral Geometry
- Intersection bodies, positive definite distributions, and the Busemann-Petty problem
- Dual kinematic formulas
- The Brunn-Minkowski inequality
- On the $L_{p}$-Minkowski problem
- The logarithmic Minkowski problem
- Sharp affine weighted 𝐿^{𝑝} Sobolev type inequalities
- Convex Bodies The Brunn-MinkowskiTheory
- On $L_p$-affine surface areas
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