Flow by Gauss curvature to the \(L_p\) dual Minkowski problem

DOI10.3934/mine.2023049OpenAlexW4291952095WikidataQ114022460 ScholiaQ114022460MaRDI QIDQ6195590

Qiang Guang, Xu-Jia Wang, Qi-Rui Li

Publication date: 14 March 2024

Published in: Mathematics in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/mine.2023049

zbMATH Keywords

Monge-Ampère equationGauss curvature flowMinkowski problem

Mathematics Subject Classification ID

Monge-Ampère equations (35J96) Ricci flows (53E20)

Cites Work

• Multiple solutions of the \(L_{p}\)-Minkowski problem
• The Brunn-Minkowski-Firey theory. I: Mixed volumes and the Minkowski problem
• Geometric measures in the dual Brunn-Minkowski theory and their associated Minkowski problems
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• On the \(L_p\) dual Minkowski problem
• The \(L_{p}\) dual Minkowski problem for \(p\) 1 and \(q\) 0
• \(L_{p}\) dual curvature measures
• On the planar \(L_p\)-Minkowski problem
• Variations of a class of Monge-Ampère-type functionals and their applications
• The \(L_p\) dual Minkowski problem and related parabolic flows
• Flow by Gauss curvature to the Aleksandrov and dual Minkowski problems
• Nonuniqueness of solutions to the \(L_p\)-Minkowski problem
• Smooth solutions to the \(L_p\) dual Minkowski problem
• The \(L_p\)-Minkowski problem and the Minkowski problem in centroaffine geometry
• The Gauss Image Problem
• The logarithmic Minkowski problem for non-symmetric measures
• Classification of limiting shapes for isotropic curve flows
• The logarithmic Minkowski problem
• A class of optimal transportation problems on the sphere
• Infinitely Many Solutions for Centro-affine Minkowski Problem

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