The Orlicz-Gauss image problem for pseudo-cones and its associated spherical optimal transport
Functional Analysis
2026-05-20 v2
Abstract
Pseudo-cones serve as the noncompact counterpart of convex bodies in convex geometry. This paper establishes a necessary and sufficient condition for the existence of solutions to the Orlicz-Gauss image problem for pseudo-cones and further demonstrates its connection to spherical optimal transport. Our approach combines the variational method with a novel restrictive technique, thereby strengthening the original result of Schneider up to a constant factor.
Keywords
Cite
@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}
}
Comments
This version contains substantial updates to the paper and also explains its connection to optimal transport