English

Non-uniqueness of solutions to the dual $L_p$-Minkowski problem

Analysis of PDEs 2019-10-16 v1 Differential Geometry

Abstract

The dual LpL_p-Minkowski problem with p<0<qp<0<q is investigated in this paper. By proving a new existence result of solutions and constructing an example, we obtain the non-uniqueness of solutions to this problem.

Keywords

Cite

@article{arxiv.1910.06879,
  title  = {Non-uniqueness of solutions to the dual $L_p$-Minkowski problem},
  author = {Qi-Rui Li and Jiakun Liu and Jian Lu},
  journal= {arXiv preprint arXiv:1910.06879},
  year   = {2019}
}