A self-contained proof of the Alt-Caffarelli-Friedman monotonicity formula
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866917517464698880 |
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| author | Salato, Emanuele |
| author_facet | Salato, Emanuele |
| contents | The Alt-Caffarelli-Friedman monotonicity formula is a cornerstone in the theory of free boundary problems. In this note we provide a self-contained proof of this result. To prove the main stepping stone, namely the Friedland-Hayman inequality, we exploit a useful convexity property. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_13473 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A self-contained proof of the Alt-Caffarelli-Friedman monotonicity formula Salato, Emanuele Analysis of PDEs The Alt-Caffarelli-Friedman monotonicity formula is a cornerstone in the theory of free boundary problems. In this note we provide a self-contained proof of this result. To prove the main stepping stone, namely the Friedland-Hayman inequality, we exploit a useful convexity property. |
| title | A self-contained proof of the Alt-Caffarelli-Friedman monotonicity formula |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2506.13473 |