Regularity of the p-Gauss curvature flow with flat side

2024/07/08 by Huang, Genggeng, Wang, Xu-Jia, Zhou, Yang
#35B65 #35K96 #35R35 #53E40 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2407.05663

Abstract

We study the regularity of the p-Gauss curvature flow with flat side. In our previous paper(arxiv:2403.12292), we obtained the regularity of the interface, namely the boundary of the flat part. In this paper, we study the regularity of the convex hypersurface near the interface.

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