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Akademický článek

Convex hypersurfaces with prescribed Musielak-Orlicz-Gauss image measure

Autor: Li Qi-Rui, Yi Caihong

Publikováno v: Advanced Nonlinear Studies, Vol 23, Iss 1, Pp 411-429 (2023)

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

Externí odkaz: https://doaj.org/article/827949f1932646ada10ada975983e85a

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A flow approach to the Musielak-Orlicz-Gauss image problem

Autor: Li, Qi-Rui, Sheng, Weimin, Ye, Deping, Yi, Caihong

Publikováno v: Adv in Math. 2022

In this paper, the extended Musielak-Orlicz-Gauss image problem is studied. Such a problem aims to characterize the Musielak-Orlicz-Gauss image measure $\widetilde{C}_{G,\Psi,\lambda}(\Omega,\cdot)$ of convex body $\Omega$ in $\mathbb{R}^{n+1}$ conta

Externí odkaz: http://arxiv.org/abs/2108.11657

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An Anisotropic shrinking flow and L_p Minkowski problem

Autor: Sheng, Weimin, Yi, Caihong

We consider a shrinking flow of smooth, closed, uniformly convex hypersurfaces in (n+1)-dimensional Euclidean space with speed fu^{alpha}{sigma}_n^{beta}, where u is the support function of the hypersurface, alpha, beta are two constants, and beta>0,

Externí odkaz: http://arxiv.org/abs/1905.04679

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A class of anisotropic expanding curvature flows

Autor: Sheng, Weimin, Yi, Caihong

Publikováno v: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS Volume 40, Number 4, April 2020

We consider an expanding flow of smooth, closed, uniformly convex hypersurfaces in (n+1)-dimensional Euclidean space with speed fu^{alpha}{sigma}_k^{beta}, where u is the support function of the hypersurface, alpha, beta are two constants, and beta>0

Externí odkaz: http://arxiv.org/abs/1905.04713

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