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Bibliographic Details
Main Authors: Lei, Siqi, Wang, Xudong
Format: Preprint
Published: 2026
Subjects:
Online Access:https://arxiv.org/abs/2601.08170
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Table of Contents:
  • 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.