A two-phase quenching-type problem for the p-Laplacian
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866913795481272320 |
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| author | Correa, Julio C. Prazeres, Disson dos |
| author_facet | Correa, Julio C. Prazeres, Disson dos |
| contents | We study minimizers of non-differentiable functionals of the Alp-Phillips type with two-phases for the $p$-Laplacian , focusing on the geometric and analytical properties of free boundaries. The main result establishes finite $(n-1)$-dimensional Hausdorff measure estimates, achieved through optimal gradient decay estimates, a $BV$-inequality and the known classifications of blow-up profiles of the linear case. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_11370 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A two-phase quenching-type problem for the p-Laplacian Correa, Julio C. Prazeres, Disson dos Analysis of PDEs We study minimizers of non-differentiable functionals of the Alp-Phillips type with two-phases for the $p$-Laplacian , focusing on the geometric and analytical properties of free boundaries. The main result establishes finite $(n-1)$-dimensional Hausdorff measure estimates, achieved through optimal gradient decay estimates, a $BV$-inequality and the known classifications of blow-up profiles of the linear case. |
| title | A two-phase quenching-type problem for the p-Laplacian |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2504.11370 |