The chord Gauss curvature flow and its $L_{p}$ chord Minkowski problem

Jinrong Hu; Yong Huang; Jian Lu; Sinan Wang

The chord Gauss curvature flow and its $L_{p}$ chord Minkowski problem

Analysis of PDEs 2024-08-13 v4

Authors: Jinrong Hu , Yong Huang , Jian Lu , Sinan Wang

Abstract

In this paper, the $L_{p}$ chord Minkowski problem is concerned. Based on the results showed in \cite{HJ23}, 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 $p\neq 0$ .

Keywords

chord gauss curvature flow lp chord minkowski problem nonlocal curvature flow smooth measures existence of solutions

Cite

@article{arxiv.2305.00453,
  title  = {The chord Gauss curvature flow and its $L_{p}$ chord Minkowski problem},
  author = {Jinrong Hu and Yong Huang and Jian Lu and Sinan Wang},
  journal= {arXiv preprint arXiv:2305.00453},
  year   = {2024}
}

Comments

25 pages(Latest Update). arXiv admin note: text overlap with arXiv:2304.14220

The chord Gauss curvature flow and its $L_{p}$ chord Minkowski problem

Abstract

Keywords

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