On some divergence-form singular elliptic equations with codimension-two boundary: $L^p$-estimates
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866914080420265984 |
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| author | Ji, Jie Xiong, Jingang |
| author_facet | Ji, Jie Xiong, Jingang |
| contents | We establish a global weighted $L^p$ estimate for the gradient of the solution to a divergence-form elliptic equations, where the coefficients are in a weighted VMO space and the equations have singularities on a co-dimension two boundary. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_06716 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On some divergence-form singular elliptic equations with codimension-two boundary: $L^p$-estimates Ji, Jie Xiong, Jingang Analysis of PDEs 35J25, 35J75, 35A21 We establish a global weighted $L^p$ estimate for the gradient of the solution to a divergence-form elliptic equations, where the coefficients are in a weighted VMO space and the equations have singularities on a co-dimension two boundary. |
| title | On some divergence-form singular elliptic equations with codimension-two boundary: $L^p$-estimates |
| topic | Analysis of PDEs 35J25, 35J75, 35A21 |
| url | https://arxiv.org/abs/2510.06716 |