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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2510.12010 |
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| _version_ | 1866914163971850240 |
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| author | Zhou, Stephen |
| author_facet | Zhou, Stephen |
| contents | We study positive singular solutions of the Loewner-Nirenberg problem on conical domains and establish the existence of solutions that admit prescribed asymptotic expansions near vertices, valid to arbitrarily high order of approximation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_12010 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Singular Solutions of the Loewner-Nirenberg Problem in Conic Domains with Prescribed Singularity at Vertices Zhou, Stephen Analysis of PDEs We study positive singular solutions of the Loewner-Nirenberg problem on conical domains and establish the existence of solutions that admit prescribed asymptotic expansions near vertices, valid to arbitrarily high order of approximation. |
| title | Singular Solutions of the Loewner-Nirenberg Problem in Conic Domains with Prescribed Singularity at Vertices |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2510.12010 |