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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2505.07786 |
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| _version_ | 1866915283996770304 |
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| author | Balci, Anna Kh. Diening, Lars Kassmann, Moritz Lee, Ho-Sik |
| author_facet | Balci, Anna Kh. Diening, Lars Kassmann, Moritz Lee, Ho-Sik |
| contents | We present nonlocal variants of the famous Meyers' example of limited higher integrability and differentiability. In the limit $s \nearrow 1$ we recover the standard Meyers' example. We consider the fractional Laplacian based on differences as well as the one based on fractional derivatives defined by Riesz potentials. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_07786 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Nonlocal Meyers' Example Balci, Anna Kh. Diening, Lars Kassmann, Moritz Lee, Ho-Sik Analysis of PDEs We present nonlocal variants of the famous Meyers' example of limited higher integrability and differentiability. In the limit $s \nearrow 1$ we recover the standard Meyers' example. We consider the fractional Laplacian based on differences as well as the one based on fractional derivatives defined by Riesz potentials. |
| title | Nonlocal Meyers' Example |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2505.07786 |