Remarks on the fine structure of the free boundary (the no-sign obstacle problem)
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866909662031380480 |
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| author | Jeon, Seongmin Shahgholian, Henrik |
| author_facet | Jeon, Seongmin Shahgholian, Henrik |
| contents | We present a number of results inspired by the approach developed in a recent work by A. Figalli and J. Serra on the fine structure of the obstacle problem, which turns out to be partially effective in addressing the no-sign obstacle problem. However, we also highlight one or two central questions that remain open and appear to require different techniques not presently available to us. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_21942 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Remarks on the fine structure of the free boundary (the no-sign obstacle problem) Jeon, Seongmin Shahgholian, Henrik Analysis of PDEs 35R35 We present a number of results inspired by the approach developed in a recent work by A. Figalli and J. Serra on the fine structure of the obstacle problem, which turns out to be partially effective in addressing the no-sign obstacle problem. However, we also highlight one or two central questions that remain open and appear to require different techniques not presently available to us. |
| title | Remarks on the fine structure of the free boundary (the no-sign obstacle problem) |
| topic | Analysis of PDEs 35R35 |
| url | https://arxiv.org/abs/2506.21942 |