A positive homogeneous fractional harmonic function in a Lipschitz cone
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866912257517027328 |
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| author | Zhang, Chilin |
| author_facet | Zhang, Chilin |
| contents | We construct a positive function $u$ supported and solving $(-Δ)^{s}u=0$ in a Lipschitz cone. Such a function is unique up to a constant multiplication. Moreover, we show that it is homogeneous of some degree $0<α<2s$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_09157 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A positive homogeneous fractional harmonic function in a Lipschitz cone Zhang, Chilin Analysis of PDEs We construct a positive function $u$ supported and solving $(-Δ)^{s}u=0$ in a Lipschitz cone. Such a function is unique up to a constant multiplication. Moreover, we show that it is homogeneous of some degree $0<α<2s$. |
| title | A positive homogeneous fractional harmonic function in a Lipschitz cone |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2502.09157 |