Rotation Bounds for Hölder Continuous Homeomorphisms with Integrable Distortion
We obtain sharp rotation bounds for the subclass of homeomorphisms of finite distortion which have distortion function in , , and for which a Hölder continuous inverse is available. The interest in this class is partially motivated by examples arising from fluid mechanics. Our rotation bounds hereby...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2022 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:259703 |
| Acceso en línea: | https://ddd.uab.cat/record/259703 https://dx.doi.org/urn:doi:10.1007/s12220-022-00950-y |
| Access Level: | acceso abierto |
| Palabra clave: | Mappings of finite distortion Quasiconformal maps Rotation bounds |
| Sumario: | We obtain sharp rotation bounds for the subclass of homeomorphisms of finite distortion which have distortion function in , , and for which a Hölder continuous inverse is available. The interest in this class is partially motivated by examples arising from fluid mechanics. Our rotation bounds hereby presented improve the existing ones, for which the Hölder continuity is not assumed. We also present examples proving sharpness. |
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