On the continuity of the solutions to the $L_{p}$ torsional Minkowski problem
Metric Geometry
2023-03-21 v1
Abstract
In this paper, we derive the continuity of solutions to the torsional Minkowski problem for . It is shown that the weak convergence of the torsional measure implies the convergence of the sequence of the corresponding convex bodies in the Hausdorff metric. Furthermore, continuity of the solution to the torsional Minkowski problem with regard to is also obtained.
Keywords
Cite
@article{arxiv.2303.11038,
title = {On the continuity of the solutions to the $L_{p}$ torsional Minkowski problem},
author = {Jinrong Hu and Qiongfang Mao and Sinan Wang},
journal= {arXiv preprint arXiv:2303.11038},
year = {2023}
}