A Unified flow approach to smooth, even Lp-Minkowski problems

Paul Bryan; Mohammad N. Ivaki; Julian Scheuer

doi:10.2140/apde.2019.12.259

A Unified flow approach to smooth, even L_p-Minkowski problems

Paul Bryan, Mohammad N. Ivaki, Julian Scheuer

Research output: Contribution to journal › Article › peer-review

36 Citations (Scopus)

Abstract

We study long-time existence and asymptotic behavior for a class of anisotropic, expanding curvature flows. For this we adapt new curvature estimates, which were developed by Guan, Ren and Wang to treat some stationary prescribed curvature problems. As an application we give a unified flow approach to the existence of smooth, even L_p-Minkowski problems in ℝⁿ⁺¹ for p > -n-1.

Original language	English
Pages (from-to)	259-280
Number of pages	22
Journal	Analysis and PDE
Volume	12
Issue number	2
DOIs	https://doi.org/10.2140/apde.2019.12.259
Publication status	Published - 1 Jan 2018

Keywords

Anisotropic flow
Curvature flow
Minkowski problem

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10.2140/apde.2019.12.259

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A Unified flow approach to smooth, even L_p-Minkowski problems

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Keywords

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