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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2501.04506 |
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| _version_ | 1866916556834865152 |
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| author | Fejne, Frida |
| author_facet | Fejne, Frida |
| contents | In this article, we prove the uniqueness of viscosity solutions to $\mathcal{L}_{\infty} u =f$ in $Ω$, where $\mathcal{L}_{\infty}$ denotes the nonlocal infinity Laplace operator, $Ω$ a bounded domain, and $f$ a continuous functions such that $f \leq 0$. Uniqueness is established through a comparison principle. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_04506 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the comparison principle for a nonlocal infinity Laplacian Fejne, Frida Analysis of PDEs 35D40, 35R11 In this article, we prove the uniqueness of viscosity solutions to $\mathcal{L}_{\infty} u =f$ in $Ω$, where $\mathcal{L}_{\infty}$ denotes the nonlocal infinity Laplace operator, $Ω$ a bounded domain, and $f$ a continuous functions such that $f \leq 0$. Uniqueness is established through a comparison principle. |
| title | On the comparison principle for a nonlocal infinity Laplacian |
| topic | Analysis of PDEs 35D40, 35R11 |
| url | https://arxiv.org/abs/2501.04506 |