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<p>The authors study the regularity of the <i>p</i>-Gauss curvature flow with flat sides. In their previous paper [Huang, G. G., Wang, X.-J. and Zhou, Y., Long time regularity of the <i>p</i>-Gauss curvature flow with flat side, <a href="https://arxiv.org/abs/2403.12292">https://arxiv.org/abs/2403.12292</a>], they obtained the regularity of the interface, namely the boundary of the flat part. In this paper, they study the regularity of the convex hypersurface near the interface.</p>

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Regularity of the p-Gauss Curvature Flow with Flat Sides

  • 期刊论文

  • 发表日期：

    2025年5月1日

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  • Genggeng Huang,
  • Xu-Jia Wang,
  • Yang Zhou

摘要

The authors study the regularity of the p-Gauss curvature flow with flat sides. In their previous paper [Huang, G. G., Wang, X.-J. and Zhou, Y., Long time regularity of the p-Gauss curvature flow with flat side, https://arxiv.org/abs/2403.12292], they obtained the regularity of the interface, namely the boundary of the flat part. In this paper, they study the regularity of the convex hypersurface near the interface.