<p>In this paper, the <i>L</i><sub><i>p</i></sub> chord Minkowski problem is concerned. Based on the results shown in [20], we obtain a new existence result of solutions to this problem in terms of smooth measures by using a nonlocal Gauss curvature flow for <i>p</i> &gt; −<i>n</i> with <i>p</i> ≠ 0.</p>

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The chord Gauss curvature flow and its Lp chord Minkowski problem

  • Jinrong Hu,
  • Yong Huang,
  • Jian Lu,
  • Sinan Wang

摘要

In this paper, the Lp chord Minkowski problem is concerned. Based on the results shown in [20], we obtain a new existence result of solutions to this problem in terms of smooth measures by using a nonlocal Gauss curvature flow for p > −n with p ≠ 0.