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The \(L_p\) Gauss image problem - MaRDI portal

The \(L_p\) Gauss image problem (Q2168042)

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Language	Label	Description	Also known as
English	The \(L_p\) Gauss image problem	scientific article

Statements

scholarly article

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The \(L_p\) Gauss image problem (English)

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Geometriae Dedicata

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publication date

31 August 2022

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full work available at URL

https://arxiv.org/abs/2105.02463

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zbMATH Keywords

\(L_p\) Gauss image problem

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surface area measure

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curvature measure

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MaRDI profile type

MaRDI publication profile

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Convex Polyhedra

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Prescription of Gauss curvature using optimal mass transport

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The Orlicz version of the \(L_p\) Minkowski problem for \(- n < p < 0\)

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The Gauss Image Problem

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The \(L_{p}\) dual Minkowski problem for \(p\) 1 and \(q\) 0

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Subspace concentration of dual curvature measures of symmetric convex bodies

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The logarithmic Minkowski problem

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Smooth solutions to the \(L_p\) dual Minkowski problem

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Variations of a class of Monge-Ampère-type functionals and their applications

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The logarithmic Minkowski problem for non-symmetric measures

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Existence of smooth even solutions to the dual Orlicz-Minkowski problem

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Anisotropic Gauss curvature flows and their associated Dual Orlicz-Minkowski problems

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Smooth solutions to the Gauss image problem

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A logarithmic Gauss curvature flow and the Minkowski problem.

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The \(L_p\)-Minkowski problem and the Minkowski problem in centroaffine geometry

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The Orlicz Aleksandrov Problem for Orlicz Integral Curvature

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

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

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The even Orlicz 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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Variational characterization for the planar dual Minkowski problem

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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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Existence of solutions to the Orlicz-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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Nonuniqueness of Solutions to the <i>Lp</i> Dual Minkowski Problem

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Flow by Gauss curvature to the Aleksandrov and dual Minkowski problems

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A flow method for the dual Orlicz–Minkowski problem

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Nonexistence of maximizers for the functional of the centroaffine Minkowski problem

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A remark on rotationally symmetric solutions to the centroaffine Minkowski problem

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Rotationally symmetric solutions to the \(L_p\)-Minkowski problem

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

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On the $L_{p}$-Minkowski problem

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\(L_{p}\) dual curvature measures

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The discrete planar \(L_0\)-Minkowski problem

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Convex Bodies The Brunn-MinkowskiTheory

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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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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1007/S10711-022-00725-3

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Sitelinks

Mathematics(1 entry)

mardi Publication:2168042

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