Existence of solutions to the Orlicz-Minkowski problem (Q1710397)

scientific article; zbMATH DE number 7005076

Language	Label	Description	Also known as
English	Existence of solutions to the Orlicz-Minkowski problem	scientific article; zbMATH DE number 7005076

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instance of

scholarly article

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title

Existence of solutions to the Orlicz-Minkowski problem (English)

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Advances in Mathematics

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publication date

22 January 2019

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zbMATH Keywords

Orlicz-Minkowski problem

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Monge-Ampère equation

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Alexandrov body

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variational method

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1016/j.aim.2019.01.004

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cites work

On the discrete logarithmic Minkowski problem

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The logarithmic Minkowski problem

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The planar $L_{p}$-Minkowski problem for $0<p<1$

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Affine isoperimetric inequalities in the functional Orlicz-Brunn-Minkowski theory

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On the $L_{p}$ Monge-Ampère equation

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

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The Orlicz-Brunn-Minkowski theory: a general framework, additions, and inequalities

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The dual Orlicz-Brunn-Minkowski theory

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The Orlicz mean zonoid operator

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The even Orlicz Minkowski problem

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An asymmetric affine Pólya-Szegő principle

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Multiple solutions of the $L_{p}$-Minkowski problem

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Necessary subspace concentration conditions for the even dual Minkowski problem

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On the Orlicz Minkowski problem for polytopes

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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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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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A priori estimates and existence of solutions to the prescribed centroaffine curvature problem

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Mirror symmetric solutions to the centro-affine Minkowski problem

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Valuations on Orlicz spaces and $L^\phi$-star sets

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The generalization of Minkowski problems for polytopes

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A generalized rotationally symmetric case of the centroaffine Minkowski problem

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Nonexistence of maximizers for the functional of the centroaffine Minkowski problem

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Topological degree method for the rotationally symmetric $L_p$-Minkowski problem

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

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$L_ p$ affine isoperimetric inequalities.

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A new ellipsoid associated with convex bodies

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On the $L_{p}$-Minkowski problem

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$L_p$ John Ellipsoids

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Orlicz centroid bodies

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Orlicz projection bodies

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$M$-addition

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Convex Bodies The Brunn-MinkowskiTheory

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The planar Orlicz Minkowski problem in the $L^1$-sense

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The Orlicz Brunn-Minkowski inequality

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Orlicz dual mixed volumes

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Dual Orlicz-Brunn-Minkowski theory

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The logarithmic Minkowski problem for polytopes

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The $L_p$ Minkowski problem for polytopes for $0 < p < 1$

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The Lp Minkowski problem for polytopes for p<0

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Orlicz-John ellipsoids

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Identifiers

zbMATH Open document ID

1408.35061

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Mathematics Subject Classification ID

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10.1016/J.AIM.2019.01.004

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Sitelinks

Mathematics(1 entry)

mardi Publication:1710397