Variational analysis of the planar \(L_p\) dual Minkowski problem (Q6114490)

scientific article; zbMATH DE number 7710872

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English	Variational analysis of the planar \(L_p\) dual Minkowski problem	scientific article; zbMATH DE number 7710872

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instance of

scholarly article

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title

Variational analysis of the planar \(L_p\) dual Minkowski problem (English)

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Mathematische Annalen

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publication date

12 July 2023

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zbMATH Keywords

planar \(L_p\) dual Minkowski problem

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MaRDI profile type

MaRDI publication profile

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cites work

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Classification of limiting shapes for isotropic curve flows

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Subspace concentration of dual curvature measures of symmetric convex bodies

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The \(L_{p}\) dual Minkowski problem for \(p\) 1 and \(q\) 0

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The log-Brunn-Minkowski inequality

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The logarithmic Minkowski problem

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The dual Minkowski problem for symmetric convex bodies

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Smooth solutions to the \(L_p\) dual Minkowski problem

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

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The \(L_p\) dual Minkowski problem and related parabolic flows

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On the planar dual Minkowski problem

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The logarithmic Minkowski problem for non-symmetric measures

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\(L_p\) Minkowski problem with not necessarily positive data

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A generalized affine isoperimetric inequality

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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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Evolving plane curves by curvature in relative geometries

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Necessary subspace concentration conditions for the even dual Minkowski problem

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Multiple solutions of the \(L_{p}\)-Minkowski problem

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Variational characterization for the planar dual Minkowski problem

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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 regularity of the \(L_p\) Minkowski problem

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

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On the \(L_p\) dual Minkowski problem

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Nonuniqueness of solutions to the \(L_p\)-Minkowski problem

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Remarks on the 2-Dimensional L<sub>p</sub>-Minkowski Problem

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2\(\pi\)-periodic self-similar solutions for the anisotropic affine curve shortening problem

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\(2\pi\)-periodic self-similar solutions for the anisotropic affine curve shortening problem. II

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Multiple solutions of the planar \(L_p\) dual Minkowski problem

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On the 2-dimensional dual Minkowski problem

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Nonuniqueness of Solutions to the <i>Lp</i> Dual Minkowski Problem

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Flow by Gauss curvature to the Aleksandrov and dual Minkowski problems

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Rotationally symmetric solutions to the \(L_p\)-Minkowski problem

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

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\(L_{p}\) dual curvature measures

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One-dimensional conformal metric flow

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STEADY STATES FOR ONE-DIMENSIONAL CURVATURE FLOWS

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The planar \(L_p\) dual Minkowski problem

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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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The planar Orlicz Minkowski problem in the \(L^1\)-sense

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On solvability of two-dimensional \(L_{p}\)-Minkowski problem.

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Non-uniqueness of self-similar shrinking curves for an anisotropic curvature flow

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Existence of solutions to the even dual Minkowski problem

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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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Identifiers

zbMATH Open document ID

1518.52003

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DOI

10.1007/s00208-022-02423-7

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6114490