Boundary behavior of solutions to fractional $p$-Laplacian equation
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866915165035823104 |
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| author | Ataei, Alireza |
| author_facet | Ataei, Alireza |
| contents | In this work, a generalized Hopf's lemma and a global boundary Harnack inequality are proved for solutions to fractional $p$-Laplacian equations. Then, the isolation of the first $(s,p)$-eigenvalue is shown in bounded open sets satisfying the Wiener criterion. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_03624 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Boundary behavior of solutions to fractional $p$-Laplacian equation Ataei, Alireza Analysis of PDEs In this work, a generalized Hopf's lemma and a global boundary Harnack inequality are proved for solutions to fractional $p$-Laplacian equations. Then, the isolation of the first $(s,p)$-eigenvalue is shown in bounded open sets satisfying the Wiener criterion. |
| title | Boundary behavior of solutions to fractional $p$-Laplacian equation |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2304.03624 |