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A class of anisotropic expanding curvature flows

Authors :
Caihong Yi
Weimin Sheng
Source :
Discrete & Continuous Dynamical Systems - A. 40:2017-2035
Publication Year :
2020
Publisher :
American Institute of Mathematical Sciences (AIMS), 2020.

Abstract

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, sigma_k is the k-th symmetric polynomial of the principle curvature radii of the hypersurface, k is an integer and 1= k+1 where p=2-alpha, which is identify with Ivaki's recent result.<br />23 pages. arXiv admin note: text overlap with arXiv:1905.04679

Details

ISSN :
15535231
Volume :
40
Database :
OpenAIRE
Journal :
Discrete & Continuous Dynamical Systems - A
Accession number :
edsair.doi.dedup.....44aab80af55d75f4d768c5d568fee065