A flow approach to the fractional Minkowski problem

DOI10.1007/s10711-017-0248-7zbMath1390.53074OpenAlexW2610331117MaRDI QIDQ1681814

Shardul Vikram, Alina Stancu

Publication date: 24 November 2017

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10711-017-0248-7

zbMATH Keywords

asymptotic behaviourconvex bodiescurvature flowsplanar Minkowski problem

Mathematics Subject Classification ID

Related Items (4)

A flow approach to the planar Lp$L_p$ Minkowski problem ⋮ Anisotropic area-preserving nonlocal flow for closed convex plane curves ⋮ An anisotropic area-preserving flow for convex plane curves ⋮ On $L_p$-Brunn-Minkowski type and $L_p$-isoperimetric type inequalities for measures

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The two dimensional \(L_p\) Minkowski problem and nonlinear equations with negative exponents
• The log-Brunn-Minkowski inequality
• The Brunn-Minkowski-Firey theory. I: Mixed volumes and the Minkowski problem
• The logarithmic Minkowski inequality for non-symmetric convex bodies
• The heat equation shrinking convex plane curves
• Evolving plane curves by curvature in relative geometries
• Evolving plane curves by curvature in relative geometries. II
• On solvability of two-dimensional \(L_{p}\)-Minkowski problem.
• On the number of solutions to the discrete two-dimensional \(L_{0}\)-Minkowski problem.
• The discrete planar \(L_0\)-Minkowski problem
• Entropy and a convergence theorem for Gauss curvature flow in high dimension
• The Brunn-Minkowski-Firey theory. II: Affine and geominimal surface areas
• \(L_p\) Minkowski problem with not necessarily positive data
• The necessary condition for the discrete \(L_{0}\)-Minkowski problem in \({\mathbb{R}}^{2}\)
• Remarks on the conjectured log-Brunn-Minkowski inequality
• Deforming a hypersurface by its Gauss-Kronecker curvature
• The logarithmic Minkowski problem
• Remarks on the 2-Dimensional L_p-Minkowski Problem

This page was built for publication: A flow approach to the fractional Minkowski problem