A class of Gauss curvature flows and its applications to an even dual Orlicz-Minkowski type problem (Q2078598)

scientific article; zbMATH DE number 7482289

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English	A class of Gauss curvature flows and its applications to an even dual Orlicz-Minkowski type problem	scientific article; zbMATH DE number 7482289

Statements

instance of

scholarly article

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title

A class of Gauss curvature flows and its applications to an even dual Orlicz-Minkowski type problem (English)

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Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods

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publication date

1 March 2022

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zbMATH Keywords

anisotropic Gauss curvature flow

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Monge-Ampère-type equation

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existence

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1016/j.na.2022.112798

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cites work

Flow by powers of the Gauss curvature

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The $L_{p}$ dual Minkowski problem for $p$ 1 and $q$ 0

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The logarithmic Minkowski problem

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Asymptotic behavior of flows by powers of the Gaussian curvature

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A unified flow approach to smooth, even $L_p$-Minkowski problems

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

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Smooth solutions to the $L_p$ dual Minkowski problem

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The $L_p$ dual Minkowski problem and related parabolic flows

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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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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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Deforming convex hypersurfaces by the $n$th root of the Gaussian curvature

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Shapes of worn stones

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Evolving plane curves by curvature in relative geometries. II

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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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Non-scale-invariant inverse curvature flows in Euclidean space

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Remarks on the entropy and Harnack estimates for the Gauss curvature flow

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Necessary subspace concentration conditions for the even dual Minkowski problem

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Variational characterization for the planar dual Minkowski problem

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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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The inverse mean curvature flow and the Riemannian Penrose inequality

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Deforming a hypersurface by Gauss curvature and support function

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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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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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The discrete planar $L_0$-Minkowski problem

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Deforming a hypersurface by its Gauss-Kronecker curvature

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An expansion of convex hypersurfaces

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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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Identifiers

zbMATH Open document ID

1485.35255

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Mathematics Subject Classification ID

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10.1016/J.NA.2022.112798

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Sitelinks

Mathematics(1 entry)

mardi Publication:2078598