逆高斯曲率流与Orlicz Minkowski问题

Pub Date : 2022-01-01 DOI:10.1515/agms-2022-0146

Bin Chen, Jingshi Cui, P. Zhao

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引用次数: 0

摘要

Liu和Lu研究了广义高斯曲率流，在适当的假设条件下得到了对偶Orlicz-Minkowski问题的偶解。本文研究了一种反高斯曲率流，在较弱的条件下，通过一种不同的c0估计技术，得到了该流的长时间存在性和收敛性。作为逆高斯曲率流的一个应用，本文首先得到了Orlicz Minkowski问题的非均匀光滑解。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Inverse Gauss Curvature Flows and Orlicz Minkowski Problem

Abstract Liu and Lu [27] investigated a generalized Gauss curvature flow and obtained an even solution to the dual Orlicz-Minkowski problem under some appropriate assumptions. The present paper investigates a inverse Gauss curvature flow, and achieves the long-time existence and convergence of this flow via a different C0-estimate technique under weaker conditions. As an application of this inverse Gauss curvature flow, the present paper first arrives at a non-even smooth solution to the Orlicz Minkowski problem.

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