A unified flow approach to smooth, even Lp-Minkowski problems
A unified flow approach to smooth, even Lp-Minkowski problems
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DOI：
10.2140/apde.2019.12.259
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发表时间：
2016-08
期刊：
影响因子：
2.2
通讯作者：
Paul Bryan;Mohammad N. Ivaki;Julian Scheuer
中科院分区：
文献类型：
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作者：
Paul Bryan;Mohammad N. Ivaki;Julian Scheuer
研究了一类各向异性膨胀曲率流的长时间存在性和渐近性态。为此，我们适应新的曲率估计，这是由关，任和王治疗一些固定的规定曲率问题。作为应用，我们给出了$\mathbb{R}^{n+1}$中光滑偶$L_p$-Minkowski问题（p>-n-1）存在性的统一流方法
We study long-time existence and asymptotic behaviour 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 $\mathbb{R}^{n+1}$ for $p>-n-1.$