The \(L_p\) chord Minkowski problem for negative \(p\)

DOI10.1007/s12220-023-01528-yarXiv2304.11299OpenAlexW4391017507MaRDI QIDQ6185084

Yuan-Yuan Li

Publication date: 29 January 2024

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2304.11299

zbMATH Keywords

Monge-Ampère equationchord integral\(L_p\) chord measure\(L_p\) chord Minkowski problem

Mathematics Subject Classification ID

Existence of solutions for minimax problems (49J35)

Related Items (1)

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

Cites Work

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• Dar's conjecture and the log-Brunn-Minkowski inequality
• The log-Brunn-Minkowski inequality
• A localization property of viscosity solutions to the Monge-Ampère equation and their strict convexity
• Evolving plane curves by curvature in relative geometries
• On the number of solutions to the discrete two-dimensional \(L_{0}\)-Minkowski problem.
• The discrete planar \(L_0\)-Minkowski problem
• Asymptotic behavior of flows by powers of the Gaussian curvature
• Gauss curvature flow: The fate of the rolling stones
• On the planar \(L_p\)-Minkowski problem
• Uniqueness of solutions to the logarithmic Minkowski problem in \(\mathbb{R}^3\)
• The \(L_p\)-Brunn-Minkowski inequality for \(p<1\)
• The logarithmic Minkowski problem for polytopes
• On the \(L_{p}\) Minkowski problem for polytopes
• Non-uniqueness of self-similar shrinking curves for an anisotropic curvature flow
• The \(L_p\)-Minkowski problem and the Minkowski problem in centroaffine geometry
• The \(L_p\) chord Minkowski problem
• On the Discrete Logarithmic Minkowski Problem
• Shapes of worn stones
• On the regularity of the monge-ampère equation det (∂2 u/∂xi ∂xj) = f(x, u)
• The logarithmic Minkowski problem
• Convex Bodies The Brunn-MinkowskiTheory

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