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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2404.08541 |
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| _version_ | 1866909167850094592 |
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| author | Bernstein, Jacob Chen, Letian Wang, Lu |
| author_facet | Bernstein, Jacob Chen, Letian Wang, Lu |
| contents | Given a smooth asymptotically conical self-expander that is strictly unstable we construct a (singular) Morse flow line of the expander functional that connects it to a stable self-expander. This flow is monotone in a suitable sense and has small singular set. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_08541 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Existence of monotone Morse flow lines of the expander functional Bernstein, Jacob Chen, Letian Wang, Lu Differential Geometry Analysis of PDEs 53E10, 49Q20 Given a smooth asymptotically conical self-expander that is strictly unstable we construct a (singular) Morse flow line of the expander functional that connects it to a stable self-expander. This flow is monotone in a suitable sense and has small singular set. |
| title | Existence of monotone Morse flow lines of the expander functional |
| topic | Differential Geometry Analysis of PDEs 53E10, 49Q20 |
| url | https://arxiv.org/abs/2404.08541 |