Convex hypersurfaces with prescribed Musielak-Orlicz-Gauss image measure-Reference-Cited by-同舟云学术

Convex hypersurfaces with prescribed Musielak-Orlicz-Gauss image measure

Published:2023-01-01 Issue:1 Volume:23 Page:
ISSN:2169-0375
Container-title:Advanced Nonlinear Studies
language:en
Short-container-title:

Author:

Li Qi-Rui¹,Yi Caihong²

Affiliation:

1. School of Mathematical Sciences, Zhejiang University , Hangzhou 310027 , China

2. School of Mathematics, Hangzhou Normal University , Hangzhou 311121 , China

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.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics,Statistical and Nonlinear Physics

Link

https://www.degruyter.com/document/doi/10.1515/ans-2022-0033/pdf

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