A survey on boundary regularity for the fractional p-Laplacian and its applications
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arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866917851704590336 |
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| author | Iannizzotto, Antonio |
| author_facet | Iannizzotto, Antonio |
| contents | We survey some recent regularity results for fractional p-Laplacian elliptic equations, especially focusing on pure and weighted boundary Hölder continuity of the solutions of related Dirichlet problems. Then, we present some applications of such results to general nonlinear elliptic equations of fractional order, treated via either variational or topological methods. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_03159 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A survey on boundary regularity for the fractional p-Laplacian and its applications Iannizzotto, Antonio Analysis of PDEs 35R11, 35B65 We survey some recent regularity results for fractional p-Laplacian elliptic equations, especially focusing on pure and weighted boundary Hölder continuity of the solutions of related Dirichlet problems. Then, we present some applications of such results to general nonlinear elliptic equations of fractional order, treated via either variational or topological methods. |
| title | A survey on boundary regularity for the fractional p-Laplacian and its applications |
| topic | Analysis of PDEs 35R11, 35B65 |
| url | https://arxiv.org/abs/2411.03159 |