Existence and uniqueness of solutions to Orlicz Minkowski problems involving \(0 < p < 1\)
type: Item
instance of: scholarly article
title: Existence and uniqueness of solutions to Orlicz Minkowski problems involving \(0 < p < 1\)
zbMATH Open document ID: 1406.52005
author: Sun Yijing
published in: Advances in Applied Mathematics
publication date: 2018-10-16T00:00:00Z
Mathematics Subject Classification ID: 52A10
Mathematics Subject Classification ID: 52A40
Mathematics Subject Classification ID: 34B16
Mathematics Subject Classification ID: 34C25
zbMATH DE Number: 6955807
zbMATH Keywords: Orlicz Minkowski problem
zbMATH Keywords: variational method
MaRDI profile type: Publication
full work available at URL: j.aam.2018.07.008
OpenAlex ID: W2887873492
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: On the discrete logarithmic Minkowski problem
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: Sublinear elliptic equations in \(\mathbb{R}{}^ n\)
cites work: The dirichlet problem for nonlinear second-order elliptic equations I. Monge-ampégre equation
cites work: \(L_p\) Minkowski problem with not necessarily positive data
cites work: A generalized affine isoperimetric inequality
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: Q3409343
cites work: Elliptic partial differential equations of second order
cites work: Convex and Discrete Geometry
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 Christoffel-Minkowski problem of Firey's \(p\)-sum
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: 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: A new ellipsoid associated with convex bodies
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: Q4169389
cites work: Q5287551
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: Q4716272
cites work: On the Discrete FunctionalLpMinkowski Problem
cites work: Compatibility phenomena in singular problems
cites work: The role of the power 3 for elliptic equations with negative exponents
cites work: An exact estimate result for a class of singular equations with critical exponents
cites work: The planar Orlicz Minkowski problem in the \(L^1\)-sense
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 \(0 < p < 1\)
DOI: 10.1016/J.AAM.2018.07.008
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