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

Paul Bryan, Mohammad N. Ivaki, Julian Scheuer

Research output: Contribution to journalArticle

6 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 Lp-Minkowski problems in ℝn+1 for p > -n-1.

Original languageEnglish
Pages (from-to)259-280
Number of pages22
JournalAnalysis and PDE
Volume12
Issue number2
DOIs
Publication statusPublished - 1 Jan 2018

Keywords

  • Anisotropic flow
  • Curvature flow
  • Minkowski problem

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