Continuity of the solution to the \(L_p\) Minkowski problem
type: Item
instance of: scholarly article
zbMATH Open document ID: 1354.52011
author: Guangxian Zhu
published in: Proceedings of the American Mathematical Society
publication date: 2016-11-14T00:00:00Z
Mathematics Subject Classification ID: 52A40
zbMATH DE Number: 6652872
zbMATH Keywords: \(L_p\) surface area measure
zbMATH Keywords: \(L_p\) Minkowski problem
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1090/proc/13248
OpenAlex ID: W2342532398
cites work: Evolving convex curves
cites work: Gauss curvature flow: The fate of the rolling stones
cites work: On the discrete logarithmic Minkowski problem
cites work: The log-Brunn-Minkowski inequality
cites work: The logarithmic Minkowski problem
cites work: The \(L_p\)-Minkowski problem and the Minkowski problem in centroaffine geometry
cites work: Affine Moser-Trudinger and Morrey-Sobolev inequalities
cites work: Q3409343
cites work: A characterization of Blaschke addition
cites work: The even Orlicz Minkowski problem
cites work: Valuations and surface area measures
cites work: Centro-affine tensor valuations
cites work: General \(L_{p}\) affine isoperimetric inequalities
cites work: Asymmetric affine \(L_p\) Sobolev inequalities
cites work: An asymmetric affine Pólya-Szegő principle
cites work: Cone-volume measures of polytopes
cites work: On the uniqueness of \(L_p\)-Minkowski problems: the constant \(p\)-curvature case in \(\mathbb{R}^3\)
cites work: On the \(L_{p}\) Minkowski problem for polytopes
cites work: Mirror symmetric solutions to the centro-affine Minkowski problem
cites work: Rotationally symmetric solutions to the \(L_p\)-Minkowski problem
cites work: General affine surface areas
cites work: \(\mathrm{SL}(n)\) invariant valuations on polytopes
cites work: Sharp convex Lorentz-Sobolev inequalities
cites work: The Brunn-Minkowski-Firey theory. I: Mixed volumes and the Minkowski problem
cites work: On the regularity of solutions to a generalization of the Minkowski problem
cites work: Sharp affine \(L_ p\) Sobolev inequalities.
cites work: On the $L_{p}$-Minkowski problem
cites work: Q5287551
cites work: Crofton measures and Minkowski valuations
cites work: The discrete planar \(L_0\)-Minkowski problem
cites work: On the number of solutions to the discrete two-dimensional \(L_{0}\)-Minkowski problem.
cites work: The affine Sobolev inequality.
cites work: The logarithmic Minkowski problem for polytopes
cites work: The \(L_p\) Minkowski problem for polytopes for \(0 < p < 1\)
cites work: The centro-affine Minkowski problem for polytopes
cites work: The Lp Minkowski problem for polytopes for p<0
DOI: 10.1090/PROC/13248
title: Continuity of the solution to the \(L_p\) Minkowski problem
description: scientific article; zbMATH DE number 6652872