A generalized Gauss curvature flow related to the Orlicz-Minkowski problem

Autor:	Liu, YanNan, Lu, Jian
Rok vydání:	2020
Předmět:	Mathematics - Analysis of PDEs Mathematics - Differential Geometry 35K96 53C44 52A20
Druh dokumentu:	Working Paper
Popis:	In this paper a generalized Gauss curvature flow about a convex hypersurface in the Euclidean $n$-space is studied. This flow is closely related to the Orlicz-Minkowski problem, which involves Gauss curvature and a function of support function. Under some appropriate assumptions, we prove the long-time existence and convergence of this flow. As a byproduct, two existence results of solutions to the even Orlicz-Minkowski problem are obtained, one of which improves the known result. Comment: 19 pages. arXiv admin note: text overlap with arXiv:2001.08862
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2005.02376 Zobrazit plný text záznamu View this record from Arxiv