Tangential touch between free and fixed boundaries for the fully nonlinear Alt-Phillips problem
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866909766097305600 |
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| author | Wang, Yamin Yu, Hui |
| author_facet | Wang, Yamin Yu, Hui |
| contents | For the fully nonlinear Alt-Phillips problem with parameter $γ\in(1,2)$, we show that the free boundary intersects the fixed boundary tangentially where the Dirichlet data vanish.
For this range of $γ$, this result is new even when the operator is the Laplacian. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_02064 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Tangential touch between free and fixed boundaries for the fully nonlinear Alt-Phillips problem Wang, Yamin Yu, Hui Analysis of PDEs For the fully nonlinear Alt-Phillips problem with parameter $γ\in(1,2)$, we show that the free boundary intersects the fixed boundary tangentially where the Dirichlet data vanish. For this range of $γ$, this result is new even when the operator is the Laplacian. |
| title | Tangential touch between free and fixed boundaries for the fully nonlinear Alt-Phillips problem |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2509.02064 |