Stable cones in the Alt-Phillips free boundary problem
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910835141509120 |
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| author | Karakhanyan, Aram Sanz-Perela, Tomás |
| author_facet | Karakhanyan, Aram Sanz-Perela, Tomás |
| contents | In this paper we prove a classification result for axially symmetric one phase minimizers of the Alt-Phillips free boundary problem in dimensions 3, 4, and 5. To accomplish this, we establish a stability inequality that extends the one for the Alt-Caffarelli problem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_13059 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Stable cones in the Alt-Phillips free boundary problem Karakhanyan, Aram Sanz-Perela, Tomás Analysis of PDEs In this paper we prove a classification result for axially symmetric one phase minimizers of the Alt-Phillips free boundary problem in dimensions 3, 4, and 5. To accomplish this, we establish a stability inequality that extends the one for the Alt-Caffarelli problem. |
| title | Stable cones in the Alt-Phillips free boundary problem |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2403.13059 |