Convex hypersurfaces with prescribed Musielak-Orlicz-Gauss image measure

IF 2.1 2区数学 Q1 MATHEMATICS

Advanced Nonlinear Studies Pub Date : 2023-01-01 DOI:10.1515/ans-2022-0033

Qi-Rui Li, Caihong Yi

引用次数: 0

Abstract

Abstract In this article, we study the Musielak-Orlicz-Gauss image problem based on the Gauss curvature flow in Li et al. We deal with some cases in which there is no uniform estimate for the Gauss curvature flow. By the use of the topological method in Guang et al., a special initial condition is chosen such that the Gauss curvature flow converges to a solution of the Musielak-Orlicz-Gauss image problem.

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具有规定的Musielak-Orlicz-Gauss图像测度的凸超曲面

摘要在本文中，我们研究了李等人基于高斯曲率流的Musielak Orlicz高斯图像问题。我们处理了高斯曲率流没有统一估计的一些情况。利用Guang等人的拓扑方法，选择了一个特殊的初始条件，使得高斯曲率流收敛于Musielak-Orlicz-Guss图像问题的解。

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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来源期刊

Advanced Nonlinear Studies 数学-数学

CiteScore

3.00

自引率

5.60%

发文量

审稿时长

12 months

期刊介绍： Advanced Nonlinear Studies is aimed at publishing papers on nonlinear problems, particulalry those involving Differential Equations, Dynamical Systems, and related areas. It will also publish novel and interesting applications of these areas to problems in engineering and the sciences. Papers submitted to this journal must contain original, timely, and significant results. Articles will generally, but not always, be published in the order when the final copies were received.