As on arXiv
Abstract
We study the regularity of the -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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Connected papers
The 8 papers on this site closest to this one, judged by the topics they share, the words and phrases in their titles and abstracts, and their authors. They are not its citations, but a map of the work around it. Papers here go back to 2021, plus the canon.
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Long time regularity of the -Gauss curvature flow with flat side
Topics Gauss curvature flow, Other curvature flows · Same authors Genggeng Huang, Xu-Jia Wang, Yang Zhou · Shared terms “flat side”, “flat part”, “interface”
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Ancient Gauss Curvature Flows of Bounded Width
Topics Gauss curvature flow, Other curvature flows · Shared terms “flat side”
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Smoothness up to the free boundary for the -Laplacian evolution equation and the -Gauss curvature flow
Topics Gauss curvature flow, Other curvature flows · Shared terms “flat side”
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The chord Gauss curvature flow and its chord Minkowski problem
Topics Gauss curvature flow, Other curvature flows
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A Gauss curvature flow related to the Orlicz-Aleksandrov problem
Topics Gauss curvature flow, Other curvature flows
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Invariant -translators for the Gauss curvature flow in Euclidean space
Topics Gauss curvature flow, Other curvature flows
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Gauss curvature flow with shrinking obstacle
Topics Gauss curvature flow, Other curvature flows
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Gauss curvature flow to the -Gaussian chord Minkowski problem
Topics Gauss curvature flow, Other curvature flows
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