$C^{1+α}$ regularity for fractional $p$-harmonic functions
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909816877744128 |
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| author | Giovagnoli, Davide Jesus, David Silvestre, Luis |
| author_facet | Giovagnoli, Davide Jesus, David Silvestre, Luis |
| contents | We establish interior $C^{1,α}$ regularity estimates for some $α> 0$, for solutions of the fractional $p$-Laplace equation $(-Δ_p)^s u = 0$ when $p$ is in the range $p \in [2,2/(1-s))$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_26565 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | $C^{1+α}$ regularity for fractional $p$-harmonic functions Giovagnoli, Davide Jesus, David Silvestre, Luis Analysis of PDEs 35B65, 35J70, 35R09 We establish interior $C^{1,α}$ regularity estimates for some $α> 0$, for solutions of the fractional $p$-Laplace equation $(-Δ_p)^s u = 0$ when $p$ is in the range $p \in [2,2/(1-s))$. |
| title | $C^{1+α}$ regularity for fractional $p$-harmonic functions |
| topic | Analysis of PDEs 35B65, 35J70, 35R09 |
| url | https://arxiv.org/abs/2509.26565 |