The Orlicz Minkowski problem involving \(0 < p < 1 \): from one constant to an infinite interval
type: Item
instance of: scholarly article
title: The Orlicz Minkowski problem involving \(0 < p < 1 \): from one constant to an infinite interval
zbMATH Open document ID: 1478.52007
author: Yuxin Tan
author: Yijing Sun
published in: Discrete and Continuous Dynamical Systems. Series S
publication date: 2021-12-08T00:00:00Z
Mathematics Subject Classification ID: 52A40
zbMATH DE Number: 7440394
zbMATH Keywords: Orlicz Minkowski problem
zbMATH Keywords: variational method
MaRDI profile type: Publication
full work available at URL: dcdss.2021037
OpenAlex ID: W3149636829
cites work: Self-similar solutions for the anisotropic affine curve shortening problem
cites work: Gauss curvature flow: The fate of the rolling stones
cites work: Classification of limiting shapes for isotropic curve flows
cites work: Semilinear elliptic equations for beginners. Existence results via the variational approach
cites work: The log-Brunn-Minkowski inequality
cites work: The logarithmic Minkowski problem
cites work: The planar \(L_{p}\)-Minkowski problem for \(0<p<1\)
cites work: The dirichlet problem for nonlinear second-order elliptic equations I. Monge-ampégre equation
cites work: Improper affine hyperspheres of convex type and a generalization of a theorem by K. Jörgens
cites work: \(L_p\) Minkowski problem with not necessarily positive data
cites work: On the \(L_{p}\) Monge-Ampère equation
cites work: On the regularity of the solution of then-dimensional Minkowski problem
cites work: The \(L_p\)-Minkowski problem and the Minkowski problem in centroaffine geometry
cites work: The two dimensional \(L_p\) Minkowski problem and nonlinear equations with negative exponents
cites work: Q5769856
cites work: Shapes of worn stones
cites work: Evolving plane curves by curvature in relative geometries
cites work: Evolving plane curves by curvature in relative geometries. II
cites work: The even Orlicz Minkowski problem
cites work: Asymmetric affine \(L_p\) Sobolev inequalities
cites work: An asymmetric affine Pólya-Szegő principle
cites work: On the Orlicz Minkowski problem for 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: A flow approach to the \(L_{-2}\) Minkowski problem
cites work: Existence of solutions to the Orlicz-Minkowski problem
cites work: Nonuniqueness of solutions to the \(L_p\)-Minkowski problem
cites work: Remarks on the 2-Dimensional Lp-Minkowski Problem
cites work: General affine surface areas
cites work: \(\mathrm{SL}(n)\) invariant valuations on polytopes
cites work: The Brunn-Minkowski-Firey theory. I: Mixed volumes and the Minkowski problem
cites work: The Brunn-Minkowski-Firey theory. II: Affine and geominimal surface areas
cites work: On the regularity of solutions to a generalization of the Minkowski problem
cites work: On the $L_{p}$-Minkowski problem
cites work: Optimal Sobolev norms and the Lp Minkowski problem
cites work: Orlicz projection bodies
cites work: Orlicz centroid bodies
cites work: On the \(p\)-affine surface area
cites work: The Weyl and Minkowski problems in differential geometry in the large
cites work: Surface bodies and \(p\)-affine surface area
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: Variational Methods
cites work: Existence and uniqueness of solutions to Orlicz Minkowski problems involving \(0 < p < 1\)
cites work: The planar Orlicz Minkowski problem in the \(L^1\)-sense
cites work: The planar Orlicz Minkowski problem for \(p=0\) without even assumptions
cites work: On the Discrete FunctionalLpMinkowski Problem
cites work: The logarithmic Minkowski problem for polytopes
cites work: The centro-affine Minkowski problem for polytopes
cites work: The \(L_p\) Minkowski problem for polytopes for \(0 < p < 1\)
cites work: The Lp Minkowski problem for polytopes for p<0
DOI: 10.3934/DCDSS.2021037
description: scientific article; zbMATH DE number 7440394