https://neckpinch.com/authors/deping-ye/New arXiv papers by Deping Ye, from Neckpinch Tue, 03 Nov 2026 08:37:45 GMT https://neckpinch.com/papers/2108.11657/arxiv:2108.11657Thu, 26 Aug 2021 00:00:00 GMTQi-Rui Li, Weimin Sheng, Deping Ye, Caihong Yi — In this paper, the extended Musielak-Orlicz-Gauss image problem is studied. Such a problem aims to characterize the Musielak-Orlicz-Gauss image measure C_(G,Ψ,λ)(Ω,·) of convex body Ω in ℝⁿ⁺¹ containing the origin (but the origin is not necessary in its interior). In particular, we provide solutions to the extended Musielak-Orlicz-Gauss image problem based on the study of suitably designed parabolic flows, and by the use of approximation technique (for general measures). Our parabolic flows involve two Musielak-Orlicz functions and hence contain many well-studied curvature flows related to Minkowski type problems as special cases. Our results not only generalize many previously known solutions to the Minkowski type and Gauss image problems, but also provide solutions to those problems in many unsolved cases.Other curvature flows