Boundary estimates for elliptic operators in divergence form with VMO coefficients
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866929698728050688 |
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| author | Dong, Hongjie Jeon, Seongmin |
| author_facet | Dong, Hongjie Jeon, Seongmin |
| contents | We establish boundary regularity estimates for elliptic systems in divergence form with VMO coefficients. Additionally, we obtain nondegeneracy estimates of the Hopf-Oleinik type lemma for elliptic equations. In both cases, the moduli of continuity are expressed in terms of the $L^p$-mean oscillations of the coefficients and data. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_02755 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Boundary estimates for elliptic operators in divergence form with VMO coefficients Dong, Hongjie Jeon, Seongmin Analysis of PDEs 35J15, 35J47, 35J67 We establish boundary regularity estimates for elliptic systems in divergence form with VMO coefficients. Additionally, we obtain nondegeneracy estimates of the Hopf-Oleinik type lemma for elliptic equations. In both cases, the moduli of continuity are expressed in terms of the $L^p$-mean oscillations of the coefficients and data. |
| title | Boundary estimates for elliptic operators in divergence form with VMO coefficients |
| topic | Analysis of PDEs 35J15, 35J47, 35J67 |
| url | https://arxiv.org/abs/2502.02755 |