New boundary Harnack inequalities with right hand side
We prove new boundary Harnack inequalities in Lipschitz domai Our main result applies to non-divergence form operators with bc divergence form operators with continuous coefficients, whereas the approach is based on the scaling and comparison arguments of [13] are sharp. As a consequence of our resu...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2021 |
| País: | España |
| Institución: | Universidad de Barcelona |
| Repositorio: | Dipòsit Digital de la UB |
| OAI Identifier: | oai:diposit.ub.edu:2445/184172 |
| Acceso en línea: | https://hdl.handle.net/2445/184172 |
| Access Level: | acceso abierto |
| Palabra clave: | Problemes de contorn Equacions diferencials el·líptiques Boundary value problems Elliptic differential equations |
| Sumario: | We prove new boundary Harnack inequalities in Lipschitz domai Our main result applies to non-divergence form operators with bc divergence form operators with continuous coefficients, whereas the approach is based on the scaling and comparison arguments of [13] are sharp. As a consequence of our results, we deduce the $\mathcal{C}^{1, \alpha}$ regularity of obstacle problem and the fully nonlinear thin obstacle problem. |
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