Rotation Bounds for Hölder Continuous Homeomorphisms with Integrable Distortion

We obtain sharp rotation bounds for the subclass of homeomorphisms [Formula: see text] of finite distortion which have distortion function in [Formula: see text] , [Formula: see text] , and for which a Hölder continuous inverse is available. The interest in this class is partially motivated by examp...

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Detalles Bibliográficos
Autores principales: Clop, A., Hitruhin, L., Sengupta, B.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer US 2022
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9132825/
https://www.ncbi.nlm.nih.gov/pubmed/35645552
http://dx.doi.org/10.1007/s12220-022-00950-y
Descripción
Sumario:We obtain sharp rotation bounds for the subclass of homeomorphisms [Formula: see text] of finite distortion which have distortion function in [Formula: see text] , [Formula: see text] , 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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