Hopf-Oleinik lemma for elliptic equations in double divergence form
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915369328836608 |
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| author | Dong, Hongjie Kim, Seick Sirakov, Boyan |
| author_facet | Dong, Hongjie Kim, Seick Sirakov, Boyan |
| contents | We establish, for the first time, a Zaremba-Hopf-Oleinik type boundary point lemma for uniformly elliptic partial differential equations in double divergence form, also known as stationary Fokker-Planck-Kolmogorov equations. As an application, we derive sharp two-sided estimates for the Green's function associated with second-order elliptic equations in non-divergence form in $C^{1,α}$ domains. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_23272 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Hopf-Oleinik lemma for elliptic equations in double divergence form Dong, Hongjie Kim, Seick Sirakov, Boyan Analysis of PDEs We establish, for the first time, a Zaremba-Hopf-Oleinik type boundary point lemma for uniformly elliptic partial differential equations in double divergence form, also known as stationary Fokker-Planck-Kolmogorov equations. As an application, we derive sharp two-sided estimates for the Green's function associated with second-order elliptic equations in non-divergence form in $C^{1,α}$ domains. |
| title | Hopf-Oleinik lemma for elliptic equations in double divergence form |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2503.23272 |