On the $L_p$ Gaussian Minkowski problem (Q6046540)

scientific article; zbMATH DE number 7684540

Language	Label	Description	Also known as
English	On the $L_p$ Gaussian Minkowski problem	scientific article; zbMATH DE number 7684540

Statements

instance of

scholarly article

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title

On the $L_p$ Gaussian Minkowski problem (English)

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Journal of Differential Equations

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publication date

11 May 2023

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full work available at URL

https://arxiv.org/abs/2211.10956

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zbMATH Keywords

Gaussian volume

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$ L_p$ Gaussian Minkowski problem

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Monge-Ampère equation

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convex body

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MaRDI profile type

MaRDI publication profile

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cites work

Gauss curvature flow: The fate of the rolling stones

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

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On the Discrete Logarithmic Minkowski Problem

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The log-Brunn-Minkowski inequality

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The logarithmic Minkowski problem

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The Gauss Image 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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A localization property of viscosity solutions to the Monge-Ampère equation and their strict convexity

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Interior $W^{2,p}$ estimates for solutions of the Monge-Ampère equation

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

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The $L_p$-Brunn-Minkowski inequality for $p<1$

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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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On the $L_{p}$ Monge-Ampère equation

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The logarithmic Minkowski problem for non-symmetric measures

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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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Existence of non-symmetric solutions to the Gaussian Minkowski problem

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Q3409343

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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 even Orlicz Minkowski problem

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On the Orlicz Minkowski problem for polytopes

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Geometric measures in the dual Brunn-Minkowski theory and their associated Minkowski problems

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The $L_p$-Aleksandrov problem for $L_p$-integral curvature

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The Minkowski problem in Gaussian probability space

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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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A Minkowski problem for electrostatic capacity

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Nonuniqueness of solutions to the $L_p$-Minkowski problem

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A priori estimates and existence of solutions to the prescribed centroaffine curvature problem

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Mirror symmetric solutions to the centro-affine Minkowski problem

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Local 𝐿^{𝑝}-Brunn–Minkowski inequalities for 𝑝<1

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Q4549330

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Degree Theory for Second Order Nonlinear Elliptic Operators and its Applications

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Infinitely Many Solutions for Centro-affine Minkowski Problem

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Flow by Gauss curvature to the Aleksandrov and dual Minkowski problems

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A flow approach to the Musielak-Orlicz-Gauss image problem

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The $L_p$-Gaussian Minkowski problem

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A flow method for the dual Orlicz–Minkowski problem

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Existence of Self-similar Solutions to the Anisotropic Affine Curve-shortening Flow

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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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$L_{p}$ dual curvature measures

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The Weyl and Minkowski problems in differential geometry in the large

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Q4169389

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Convex Bodies The Brunn-MinkowskiTheory

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A Brunn-Minkowski theory for coconvex sets of finite volume

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Q3536061

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On the discrete Orlicz Minkowski problem

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Dar's conjecture and the log-Brunn-Minkowski inequality

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On the L p Brunn-Minkowski theory and the L p Minkowski problem for C-coconvex sets

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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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The Lp Minkowski problem for polytopes for p<0

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The dual Orlicz-Minkowski problem

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The $L_p$ Minkowski problem for the electrostatic $\mathfrak{p}$-capacity

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Identifiers

zbMATH Open document ID

1514.35182

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arXiv ID

2211.10956

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Mathematics Subject Classification ID

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10.1016/J.JDE.2023.03.026

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Sitelinks

Mathematics(1 entry)

mardi Publication:6046540

On the \(L_p\) Gaussian Minkowski problem (Q6046540)

Statements

Identifiers

Sitelinks

Mathematics(1 entry)