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
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author Clop, A.
Hitruhin, L.
Sengupta, B.
author_facet Clop, A.
Hitruhin, L.
Sengupta, B.
author_sort Clop, A.
collection PubMed
description 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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spelling pubmed-91328252022-05-27 Rotation Bounds for Hölder Continuous Homeomorphisms with Integrable Distortion Clop, A. Hitruhin, L. Sengupta, B. J Geom Anal Article 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. Springer US 2022-05-25 2022 /pmc/articles/PMC9132825/ /pubmed/35645552 http://dx.doi.org/10.1007/s12220-022-00950-y Text en © The Author(s) 2022 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Article
Clop, A.
Hitruhin, L.
Sengupta, B.
Rotation Bounds for Hölder Continuous Homeomorphisms with Integrable Distortion
title Rotation Bounds for Hölder Continuous Homeomorphisms with Integrable Distortion
title_full Rotation Bounds for Hölder Continuous Homeomorphisms with Integrable Distortion
title_fullStr Rotation Bounds for Hölder Continuous Homeomorphisms with Integrable Distortion
title_full_unstemmed Rotation Bounds for Hölder Continuous Homeomorphisms with Integrable Distortion
title_short Rotation Bounds for Hölder Continuous Homeomorphisms with Integrable Distortion
title_sort rotation bounds for hölder continuous homeomorphisms with integrable distortion
topic Article
url 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
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AT hitruhinl rotationboundsforholdercontinuoushomeomorphismswithintegrabledistortion
AT senguptab rotationboundsforholdercontinuoushomeomorphismswithintegrabledistortion

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