The Orlicz-Gauss image problem for pseudo-cones and its associated spherical optimal transport
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866914579900006400 |
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| author | Lei, Siqi Wang, Xudong |
| author_facet | Lei, Siqi Wang, Xudong |
| 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_08170 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The Orlicz-Gauss image problem for pseudo-cones and its associated spherical optimal transport Lei, Siqi Wang, Xudong Functional Analysis 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. |
| title | The Orlicz-Gauss image problem for pseudo-cones and its associated spherical optimal transport |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2601.08170 |