The 𝐿_{𝑝} Aleksandrov problem for origin-symmetric polytopes (Q5232941)

scientific article; zbMATH DE number 7104966

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English	The 𝐿_{𝑝} Aleksandrov problem for origin-symmetric polytopes	scientific article; zbMATH DE number 7104966

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instance of

scholarly article

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title

The 𝐿_{𝑝} Aleksandrov problem for origin-symmetric polytopes (English)

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published in

Proceedings of the American Mathematical Society

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publication date

13 September 2019

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full work available at URL

https://arxiv.org/abs/1803.10839

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zbMATH Keywords

Aleksandrov problem

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origin-symmetric polytopes

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MaRDI profile type

MaRDI publication profile

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cites work

Q5837690

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Gauss curvature flow: The fate of the rolling stones

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Classification of limiting shapes for isotropic curve flows

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Cone-volume measure of general centered convex bodies

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The log-Brunn-Minkowski inequality

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The logarithmic Minkowski problem

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Affine images of isotropic measures

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The dual Minkowski problem for symmetric convex bodies

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Smooth solutions to the $L_p$ dual Minkowski problem

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On the $L_{p}$ Monge-Ampère equation

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The logarithmic Minkowski problem for non-symmetric measures

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$L_p$ Minkowski problem with not necessarily positive data

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The $L_p$-Minkowski problem and the Minkowski problem in centroaffine geometry

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General volumes in the Orlicz-Brunn-Minkowski theory and a related Minkowski problem. I

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Asymmetric affine $L_p$ Sobolev inequalities

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Cone-volume measures of polytopes

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Necessary subspace concentration conditions for the even dual Minkowski problem

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On the uniqueness of $L_p$-Minkowski problems: the constant $p$-curvature case in $\mathbb{R}^3$

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Geometric measures in the dual Brunn-Minkowski theory and their associated Minkowski problems

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The $L_p$-Aleksandrov problem for $L_p$-integral curvature

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On the $L_p$ dual Minkowski problem

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On the $L_{p}$ Minkowski problem for polytopes

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Nonuniqueness of solutions to the $L_p$-Minkowski problem

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Mirror symmetric solutions to the centro-affine Minkowski problem

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Flow by Gauss curvature to the Aleksandrov and dual Minkowski problems

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Rotationally symmetric solutions to the $L_p$-Minkowski problem

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General affine surface areas

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$\mathrm{SL}(n)$ invariant valuations on polytopes

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The Brunn-Minkowski-Firey theory. I: Mixed volumes and the Minkowski problem

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The Brunn-Minkowski-Firey theory. II: Affine and geominimal surface areas

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On the regularity of solutions to a generalization of the Minkowski problem

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$L_ p$ affine isoperimetric inequalities.

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Sharp affine $L_ p$ Sobolev inequalities.

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On the $L_{p}$-Minkowski problem

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$L_{p}$ dual curvature measures

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Projecting the surface measure of the sphere of ${\ell}_p^n$

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Embedding $\mathbb S^n$ into $\mathbb R^{n+1}$ with given integral Gauss curvature and optimal mass transport on $\mathbb S^n$

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Relative entropy of cone measures and L p centroid bodies

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Convex Bodies The Brunn-MinkowskiTheory

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The discrete planar $L_0$-Minkowski problem

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Extremum problems for the cone volume functional of convex polytopes

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The dual Minkowski problem for negative indices

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Existence of solutions to the even dual Minkowski problem

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The logarithmic Minkowski problem for polytopes

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The centro-affine Minkowski problem for polytopes

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The Lp Minkowski problem for polytopes for p<0

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Identifiers

zbMATH Open document ID

1423.52012

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5232941