An overview of regularity results for the Laplacian and $p$-Laplacian in metric spaces
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866912216731615232 |
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| author | Violo, Ivan Yuri |
| author_facet | Violo, Ivan Yuri |
| contents | We review some regularity results for the Laplacian and $p$-Laplacian in metric measure spaces. The focus is mainly on interior Hölder, Lipschitz and second-regularity estimates and on spaces supporting a Poincaré inequality or having Ricci curvature bounded below. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_00825 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | An overview of regularity results for the Laplacian and $p$-Laplacian in metric spaces Violo, Ivan Yuri Analysis of PDEs Metric Geometry 35B65, 35J92, 46E36, 58J05 We review some regularity results for the Laplacian and $p$-Laplacian in metric measure spaces. The focus is mainly on interior Hölder, Lipschitz and second-regularity estimates and on spaces supporting a Poincaré inequality or having Ricci curvature bounded below. |
| title | An overview of regularity results for the Laplacian and $p$-Laplacian in metric spaces |
| topic | Analysis of PDEs Metric Geometry 35B65, 35J92, 46E36, 58J05 |
| url | https://arxiv.org/abs/2502.00825 |