The Lp Minkowski problem for q-capacity (Q5001561)

scientific article; zbMATH DE number 7374103

Language	Label	Description	Also known as
English	The <i>L</i><sub><i>p</i></sub> Minkowski problem for <i>q</i>-capacity	scientific article; zbMATH DE number 7374103

Statements

instance of

scholarly article

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title

The Lp Minkowski problem for q-capacity (English)

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author

Zhengmao Chen

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published in

Proceedings of the Royal Society of Edinburgh: Section A Mathematics

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publication date

22 July 2021

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zbMATH Keywords

$q$-capacity

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$L_p$ $q$-capacity measure

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$L_p$ Minkowski inequality

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1017/prm.2020.57

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cites work

Q5837691

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Q4894100

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Note on an eigenvalue problem with applications to a Minkowski type regularity problem in $\mathbb{R}^n$

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Q4315908

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Smoothness in the $L_p$ Minkowski problem for $p<1$

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The Orlicz version of the $L_p$ Minkowski problem for $- n < p < 0$

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Q3764803

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Capacitary inequalities of the Brunn-Minkowski type

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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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Interior a priori estimates for solutions of fully nonlinear equations

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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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Some regularity properties of solutions of Monge Ampère equation

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On the case of equality in the Brunn-Minkowski inequality for capacity

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

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On the planar dual Minkowski problem

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The $L_p$ Minkowski problem for torsion

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

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Brunn-Minkowski inequalities for variational functionals and related problems

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The Hadamard variational formula and the Minkowski problem for $p$-capacity

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The Minkowski problem for the torsional rigidity

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Q5178046

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$p$-Means of Convex Bodies.

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Convex hypersurfaces of prescribed curvatures

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

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$L^p$ Christoffel-Minkowski problem: the case $1< p<k+1$

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The Monge-Ampère equation

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

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On the Christoffel-Minkowski problem of Firey's $p$-sum

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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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Prescribing harmonic measure on convex domains

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Nonuniqueness of solutions to the $L_p$-Minkowski problem

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Identifiers

zbMATH Open document ID

1469.31018

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5001561

The <i>L</i><sub><i>p</i></sub> Minkowski problem for <i>q</i>-capacity (Q5001561)

Statements

Identifiers

Sitelinks

Mathematics(1 entry)