Continuity of the solution to the dual Minkowski problem for negative indices (Q4644725)

scientific article; zbMATH DE number 6998160

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English	Continuity of the solution to the dual Minkowski problem for negative indices	scientific article; zbMATH DE number 6998160

Statements

instance of

scholarly article

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title

Continuity of the solution to the dual Minkowski problem for negative indices (English)

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Proceedings of the American Mathematical Society

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publication date

8 January 2019

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zbMATH Keywords

convex body

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dual curvature measure

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dual Minkowski problem

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1090/proc/13995

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cites work

Q5837690

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Gauss curvature flow: The fate of the rolling stones

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A probabilistic approach to the geometry of the $\ell^n_p$-ball

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Cone-volume measure of general centered convex bodies

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Subspace concentration of dual curvature measures of symmetric convex bodies

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The log-Brunn-Minkowski inequality

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The logarithmic Minkowski problem

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$L_p$ Minkowski problem with not necessarily positive data

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Affine Moser-Trudinger and Morrey-Sobolev inequalities

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

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The even Orlicz Minkowski problem

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General $L_{p}$ affine isoperimetric inequalities

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

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

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

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Mirror symmetric solutions to the centro-affine Minkowski problem

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Rotationally symmetric solutions to the $L_p$-Minkowski problem

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Sharp convex Lorentz-Sobolev inequalities

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Dual mixed volumes

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

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

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Sharp affine $L_ p$ Sobolev inequalities.

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On the $L_{p}$-Minkowski problem

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Embedding $\mathbb S^n$ into $\mathbb R^{n+1}$ with given integral Gauss curvature and optimal mass transport on $\mathbb S^n$

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Convex Bodies The Brunn-MinkowskiTheory

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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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Q3536061

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The affine Sobolev-Zhang inequality on BV($\mathbb R^n)$

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The affine Sobolev inequality.

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The dual Minkowski problem for negative indices

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The logarithmic Minkowski problem for polytopes

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

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The centro-affine Minkowski problem for polytopes

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Continuity of the solution to the $L_{p}$ Minkowski problem

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The Lp Minkowski problem for polytopes for p<0

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Identifiers

zbMATH Open document ID

1406.52021

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DOI

10.1090/proc/13995

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:4644725