English

Nonuniqueness of solutions to the $L_p$ chord Minkowski problem

Analysis of PDEs 2023-04-26 v1

Abstract

This paper explores the nonuniqueness of solutions to the LpL_p chord Minkowski problem for negative p.p. The LpL_p chord Minkowski problem was recently posed by Lutwak, Xi, Yang and Zhang, which seeks to determine the necessary and sufficient conditions for a given finite Borel measure such that it is the LpL_p chord measure of a convex body, and it includes the chord Minkowski problem and the LpL_p Minkowski problem.

Keywords

Cite

@article{arxiv.2304.12714,
  title  = {Nonuniqueness of solutions to the $L_p$ chord Minkowski problem},
  author = {Yuanyuan Li},
  journal= {arXiv preprint arXiv:2304.12714},
  year   = {2023}
}

Comments

25 pages. arXiv admin note: substantial text overlap with arXiv:2304.11299