伪锥的 Orlicz-Gauss 像问题及其相关球面最优输运
泛函分析
2026-05-20 v2
摘要
伪锥是凸几何中凸体的非紧致对应物。本文建立了伪锥的 Orlicz-Gauss 像问题解的必要充要条件，并进一步展示了其与球面最优输运之间的联系。我们的方法结合了变分方法与一种新颖的限制技术，从而加强了Schneider的原有结果中常数的因数。
关键词
引用
@article{arxiv.2601.08170,
title = {The Orlicz-Gauss image problem for pseudo-cones and its associated spherical optimal transport},
author = {Siqi Lei and Xudong Wang},
journal= {arXiv preprint arXiv:2601.08170},
year = {2026}
}
备注
This version contains substantial updates to the paper and also explains its connection to optimal transport