The Orlicz Minkowski problem involving $0 < p < 1 $: from one constant to an infinite interval (Q2056477)

scientific article; zbMATH DE number 7440394

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English	The Orlicz Minkowski problem involving $0 < p < 1 $: from one constant to an infinite interval	scientific article; zbMATH DE number 7440394

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title

The Orlicz Minkowski problem involving $0 < p < 1 $: from one constant to an infinite interval (English)

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Discrete and Continuous Dynamical Systems. Series S

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publication date

8 December 2021

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zbMATH Keywords

Orlicz Minkowski problem

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variational method

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.3934/dcdss.2021037

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cites work

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Gauss curvature flow: The fate of the rolling stones

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Classification of limiting shapes for isotropic curve flows

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Semilinear elliptic equations for beginners. Existence results via the variational approach

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The log-Brunn-Minkowski inequality

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The logarithmic Minkowski problem

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The planar $L_{p}$-Minkowski problem for $0<p<1$

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The dirichlet problem for nonlinear second-order elliptic equations I. Monge-ampégre equation

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Improper affine hyperspheres of convex type and a generalization of a theorem by K. Jörgens

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$L_p$ Minkowski problem with not necessarily positive data

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On the $L_{p}$ Monge-Ampère equation

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On the regularity of the solution of then-dimensional Minkowski problem

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The $L_p$-Minkowski problem and the Minkowski problem in centroaffine geometry

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The two dimensional $L_p$ Minkowski problem and nonlinear equations with negative exponents

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Q5769856

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Shapes of worn stones

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Evolving plane curves by curvature in relative geometries

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Evolving plane curves by curvature in relative geometries. II

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The even Orlicz Minkowski problem

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Asymmetric affine $L_p$ Sobolev inequalities

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An asymmetric affine Pólya-Szegő principle

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On the Orlicz Minkowski problem for polytopes

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On the uniqueness of $L_p$-Minkowski problems: the constant $p$-curvature case in $\mathbb{R}^3$

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On the $L_{p}$ Minkowski problem for polytopes

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A flow approach to the $L_{-2}$ Minkowski problem

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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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Remarks on the 2-Dimensional Lp-Minkowski Problem

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General affine surface areas

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$\mathrm{SL}(n)$ invariant valuations on polytopes

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

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The Brunn-Minkowski-Firey theory. II: Affine and geominimal surface areas

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

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On the $L_{p}$-Minkowski problem

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Optimal Sobolev norms and the Lp Minkowski problem

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Orlicz projection bodies

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Orlicz centroid bodies

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On the $p$-affine surface area

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The Weyl and Minkowski problems in differential geometry in the large

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Surface bodies and $p$-affine surface area

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The discrete planar $L_0$-Minkowski problem

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On the number of solutions to the discrete two-dimensional $L_{0}$-Minkowski problem.

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Variational Methods

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Existence and uniqueness of solutions to Orlicz Minkowski problems involving $0 < p < 1$

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The planar Orlicz Minkowski problem in the $L^1$-sense

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The planar Orlicz Minkowski problem for $p=0$ without even assumptions

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On the Discrete FunctionalLpMinkowski Problem

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The logarithmic Minkowski problem for polytopes

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The centro-affine Minkowski problem for polytopes

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The $L_p$ Minkowski problem for polytopes for $0 < p < 1$

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The Lp Minkowski problem for polytopes for p<0

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Identifiers

zbMATH Open document ID

1478.52007

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Mathematics Subject Classification ID

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10.3934/DCDSS.2021037

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Sitelinks

Mathematics(1 entry)

mardi Publication:2056477

The Orlicz Minkowski problem involving \(0 < p < 1 \): from one constant to an infinite interval (Q2056477)

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Sitelinks

Mathematics(1 entry)