Regularity of the $p$-Gauss curvature flow with flat side

Genggeng Huang; Xu-Jia Wang; Yang Zhou

Regularity of the $p$-Gauss curvature flow with flat side

Differential Geometry 2024-07-09 v1 Analysis of PDEs

Authors: Genggeng Huang , Xu-Jia Wang , Yang Zhou

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.

Keywords

p-Gauss curvature flow flat side regularity interface regularity convex hypersurface

Cite

@article{arxiv.2407.05663,
  title  = {Regularity of the $p$-Gauss curvature flow with flat side},
  author = {Genggeng Huang and Xu-Jia Wang and Yang Zhou},
  journal= {arXiv preprint arXiv:2407.05663},
  year   = {2024}
}