A flow method for a generalization of L_p Christofell-Minkowski problem

2022/04/21 by Boya Li, Hongjie Ju, Yannan Liu
Mathematics · #math.AP #math.DG #msc:35J75 #msc:35J96 #msc:53A07 #msc:53A15

paper · pdf · doi:10.3934/cpaa.2021198

published as Communications on Pure and Applied Analysis, 21 (3) 2022, 785-796 · arXiv admin note: substantial text overlap with arXiv:2011.11408

arxiv created 2022/04/21 · arxiv updated 2022/04/22

Abstract

In this paper, a generalization of the L_p-Christoffel-Minkowski problem is studied. We consider an anisotropic curvature flow and derive the long-time existence of the flow. Then under some initial data, we obtain the existence of smooth solutions to this problem for c=1.

Citations

• Deforming a Convex Hypersurface by Anisotropic Curvature Flows