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

Paul Bryan, Mohammad N. Ivaki, Julian Scheuer

    Research output: Contribution to journalArticlepeer-review

    18 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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