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...

ver descrição completa

Detalhes bibliográficos
Autores: Clop, Albert|||0000-0002-0187-6288, Hitruhin, L., Sengupta, B.
Formato: artículo
Fecha de publicación:2022
País:España
Recursos:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:259703
Acesso em linha:https://ddd.uab.cat/record/259703
https://dx.doi.org/urn:doi:10.1007/s12220-022-00950-y
Access Level:acceso abierto
Palavra-chave:Mappings of finite distortion
Quasiconformal maps
Rotation bounds
id ES_28a3dda2dd108f6175fdc19f851fc45d
oai_identifier_str oai:ddd.uab.cat:259703
network_acronym_str ES
network_name_str España
repository_id_str
spelling Rotation Bounds for Hölder Continuous Homeomorphisms with Integrable DistortionClop, Albert|||0000-0002-0187-6288Hitruhin, L.Sengupta, B.Mappings of finite distortionQuasiconformal mapsRotation boundsWe 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. 22022-01-0120222022-01-01Articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/259703https://dx.doi.org/urn:doi:10.1007/s12220-022-00950-yreponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaInglésengAgència de Gestió d'Ajuts Universitaris i de Recerca https://doi.org/10.13039/501100003030 2017/SGR-395Ministerio de Economía y Competitividad https://doi.org/10.13039/501100003329 SEV-2015-0554Ministerio de Economía, Industria y Competitividad https://doi.org/10.13039/501100010198 MTM2016-75390-PMinisterio de Economía, Industria y Competitividad https://doi.org/10.13039/501100010198 MTM2016-81703-ERCAgencia Estatal de Investigación https://doi.org/10.13039/501100011033 MTM2017-85934-C3-2-PEuropean Commission https://doi.org/10.13039/501100000780 834728European Commission https://doi.org/10.13039/501100000780 307179open accesshttp://purl.org/coar/access_right/c_abf2Aquest document està subjecte a una llicència d'ús Creative Commons. Es permet la reproducció total o parcial, la distribució, la comunicació pública de l'obra i la creació d'obres derivades, fins i tot amb finalitats comercials, sempre i quan es reconegui l'autoria de l'obra original.https://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessoai:ddd.uab.cat:2597032026-06-06T12:50:31Z
dc.title.none.fl_str_mv Rotation Bounds for Hölder Continuous Homeomorphisms with Integrable Distortion
title Rotation Bounds for Hölder Continuous Homeomorphisms with Integrable Distortion
spellingShingle Rotation Bounds for Hölder Continuous Homeomorphisms with Integrable Distortion
Clop, Albert|||0000-0002-0187-6288
Mappings of finite distortion
Quasiconformal maps
Rotation bounds
title_short 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_sort Rotation Bounds for Hölder Continuous Homeomorphisms with Integrable Distortion
dc.creator.none.fl_str_mv Clop, Albert|||0000-0002-0187-6288
Hitruhin, L.
Sengupta, B.
author Clop, Albert|||0000-0002-0187-6288
author_facet Clop, Albert|||0000-0002-0187-6288
Hitruhin, L.
Sengupta, B.
author_role author
author2 Hitruhin, L.
Sengupta, B.
author2_role author
author
dc.subject.none.fl_str_mv Mappings of finite distortion
Quasiconformal maps
Rotation bounds
topic Mappings of finite distortion
Quasiconformal maps
Rotation bounds
description 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.
publishDate 2022
dc.date.none.fl_str_mv 2
2022-01-01
2022
2022-01-01
dc.type.none.fl_str_mv Article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://ddd.uab.cat/record/259703
https://dx.doi.org/urn:doi:10.1007/s12220-022-00950-y
url https://ddd.uab.cat/record/259703
https://dx.doi.org/urn:doi:10.1007/s12220-022-00950-y
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Agència de Gestió d'Ajuts Universitaris i de Recerca https://doi.org/10.13039/501100003030 2017/SGR-395
Ministerio de Economía y Competitividad https://doi.org/10.13039/501100003329 SEV-2015-0554
Ministerio de Economía, Industria y Competitividad https://doi.org/10.13039/501100010198 MTM2016-75390-P
Ministerio de Economía, Industria y Competitividad https://doi.org/10.13039/501100010198 MTM2016-81703-ERC
Agencia Estatal de Investigación https://doi.org/10.13039/501100011033 MTM2017-85934-C3-2-P
European Commission https://doi.org/10.13039/501100000780 834728
European Commission https://doi.org/10.13039/501100000780 307179
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://creativecommons.org/licenses/by/4.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://creativecommons.org/licenses/by/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:Dipòsit Digital de Documents de la UAB
instname:Universitat Autònoma de Barcelona
instname_str Universitat Autònoma de Barcelona
reponame_str Dipòsit Digital de Documents de la UAB
collection Dipòsit Digital de Documents de la UAB
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869404957768155136
score 15.300719

Registos relacionados