Higher Hölder regularity for degenerate elliptic PDEs with data in Morrey spaces
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866912644010606592 |
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| author | Di Fazio, Giuseppe Teymurazyan, Rafayel Urbano, José Miguel |
| author_facet | Di Fazio, Giuseppe Teymurazyan, Rafayel Urbano, José Miguel |
| contents | We establish sharp local $C^{1,α}$-regularity for weak solutions to degenerate elliptic equations of $p$-Laplacian type with data in Morrey spaces. The proof relies on the Fefferman-Phong inequality and standard tools from regularity theory for nonlinear PDEs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_10359 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Higher Hölder regularity for degenerate elliptic PDEs with data in Morrey spaces Di Fazio, Giuseppe Teymurazyan, Rafayel Urbano, José Miguel Analysis of PDEs 35B65, 35J70, 35J92 We establish sharp local $C^{1,α}$-regularity for weak solutions to degenerate elliptic equations of $p$-Laplacian type with data in Morrey spaces. The proof relies on the Fefferman-Phong inequality and standard tools from regularity theory for nonlinear PDEs. |
| title | Higher Hölder regularity for degenerate elliptic PDEs with data in Morrey spaces |
| topic | Analysis of PDEs 35B65, 35J70, 35J92 |
| url | https://arxiv.org/abs/2510.10359 |