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Orlicz-Minkowski flows (Q2226028)

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Language	Label	Description	Also known as
English	Orlicz-Minkowski flows	scientific article

Statements

scholarly article

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Orlicz-Minkowski flows (English)

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Mohammad N. Ivaki

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Calculus of Variations and Partial Differential Equations

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publication date

11 February 2021

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full work available at URL

https://arxiv.org/abs/2005.00143

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zbMATH Keywords

Gauss curvature flows

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invariant Borel measure

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origin-symmetric convex bodies

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flow hypersurfaces

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regularity

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Christoffel-Minkowski problems

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MaRDI profile type

MaRDI publication profile

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Entropy estimates for evolving hypersurfaces

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Evolving convex curves

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

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Smoothness in the \(L_p\) Minkowski problem for \(p<1\)

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The \(L_{p}\)-Minkowski problem for \(-n < p < 1\)

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On the Discrete Logarithmic Minkowski Problem

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A unified flow approach to smooth, even \(L_p\)-Minkowski problems

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Parabolic approaches to curvature equations

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The logarithmic Minkowski problem

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Volume-preserving nonhomogeneous mean curvature flow of convex hypersurfaces

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The planar \(L_{p}\)-Minkowski problem for \(0<p<1\)

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Affine Moser-Trudinger and Morrey-Sobolev inequalities

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On the \(L_{p}\) Monge-Ampère equation

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Expansion of convex hypersurfaces by nonhomogeneous functions of curvature

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Nonhomogeneous Gauss Curvature Flows

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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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Closed Weingarten hypersurfaces in Riemannian manifolds

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Hypersurfaces of prescribed scalar curvature in Lorentzian manifolds

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Curvature estimates for Weingarten hypersurfaces in Riemannian manifolds

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Non-scale-invariant inverse curvature flows in Euclidean space

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

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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 Christoffel-Minkowski problem. I: Convexity of solutions of a Hessian equation

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A fully nonlinear conformal flow on locally conformally flat manifolds

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\(L^p\) Christoffel-Minkowski problem: the case \(1< p<k+1\)

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On the Orlicz Minkowski problem for polytopes

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The even Orlicz Minkowski problem

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On the Christoffel-Minkowski problem of Firey's \(p\)-sum

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Volume preserving centro-affine normal flows

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Centro–affine curvature flows on centrally symmetric convex curves

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The planar Busemann-Petty centroid inequality and its stability

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Deforming a hypersurface by Gauss curvature and support function

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Deforming a hypersurface by principal radii of curvature and support function

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ITERATIONS OF CURVATURE IMAGES

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Existence of solutions to the Orlicz-Minkowski problem

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Nonuniqueness of solutions to the \(L_p\)-Minkowski problem

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Expansion of pinched hypersurfaces of the Euclidean and hyperbolic space by high powers of curvature

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Surfaces expanding by the power of the Gauss curvature flow

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A flow method for the dual Orlicz–Minkowski problem

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On the regularity of solutions to a generalization of the Minkowski problem

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

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Sharp affine \(L_ p\) Sobolev inequalities.

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Orlicz projection bodies

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Nonhomogeneous inverse Gauss curvature flow in ℍ³

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Volume preserving curvature flows in Lorentzian manifolds

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Mixed volume preserving curvature flows

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Surfaces expanding by the inverse Gauß curvature flow

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Convex Bodies The Brunn-MinkowskiTheory

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Pinching and asymptotical roundness for inverse curvature flows in Euclidean space

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The discrete planar \(L_0\)-Minkowski problem

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Centro-Affine Invariants for Smooth Convex Bodies

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On the discrete Orlicz Minkowski problem

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The Orlicz Brunn-Minkowski inequality

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The planar Orlicz Minkowski problem in the \(L^1\)-sense

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Orlicz-John ellipsoids

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Identifiers

zbMATH Open document ID

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10.1007/s00526-020-01886-3

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2226028

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