Near-sphere lattices with constant nonlocal mean curvature

The final publication is available at link.springer.com

Detalles Bibliográficos
Autores: Cabré Vilagut, Xavier|||0000-0001-5682-3135, Fall, Mouhamed Moustapha, Weth, Tobias
Tipo de recurso: artículo
Fecha de publicación:2018
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/347751
Acceso en línea:https://hdl.handle.net/2117/347751
https://dx.doi.org/10.1007/s00208-017-1559-6
Access Level:acceso abierto
Palabra clave:Àrees temàtiques de la UPC::Matemàtiques i estadística
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spelling Near-sphere lattices with constant nonlocal mean curvatureCabré Vilagut, Xavier|||0000-0001-5682-3135Fall, Mouhamed MoustaphaWeth, TobiasÀrees temàtiques de la UPC::Matemàtiques i estadísticaThe final publication is available at link.springer.comWe are concerned with unbounded sets of RN whose boundary has constant nonlocal (or fractional) mean curvature, which we call CNMC sets. This is the equation associated to critical points of the fractional perimeter functional under a volume constraint. We construct CNMC sets which are the countable union of a certain bounded domain and all its translations through a periodic integer lattice of dimension M=N. Our CNMC sets form a C2 branch emanating from the unit ball alone and where the parameter in the branch is essentially the distance to the closest lattice point. Thus, the new translated near-balls (or near-spheres) appear from infinity. We find their exact asymptotic shape as the parameter tends to infinity.Peer Reviewed20182018-04-0120212021-06-22journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/347751https://dx.doi.org/10.1007/s00208-017-1559-6reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/3477512026-05-27T15:37:01Z
dc.title.none.fl_str_mv Near-sphere lattices with constant nonlocal mean curvature
title Near-sphere lattices with constant nonlocal mean curvature
spellingShingle Near-sphere lattices with constant nonlocal mean curvature
Cabré Vilagut, Xavier|||0000-0001-5682-3135
Àrees temàtiques de la UPC::Matemàtiques i estadística
title_short Near-sphere lattices with constant nonlocal mean curvature
title_full Near-sphere lattices with constant nonlocal mean curvature
title_fullStr Near-sphere lattices with constant nonlocal mean curvature
title_full_unstemmed Near-sphere lattices with constant nonlocal mean curvature
title_sort Near-sphere lattices with constant nonlocal mean curvature
dc.creator.none.fl_str_mv Cabré Vilagut, Xavier|||0000-0001-5682-3135
Fall, Mouhamed Moustapha
Weth, Tobias
author Cabré Vilagut, Xavier|||0000-0001-5682-3135
author_facet Cabré Vilagut, Xavier|||0000-0001-5682-3135
Fall, Mouhamed Moustapha
Weth, Tobias
author_role author
author2 Fall, Mouhamed Moustapha
Weth, Tobias
author2_role author
author
dc.subject.none.fl_str_mv Àrees temàtiques de la UPC::Matemàtiques i estadística
topic Àrees temàtiques de la UPC::Matemàtiques i estadística
description The final publication is available at link.springer.com
publishDate 2018
dc.date.none.fl_str_mv 2018
2018-04-01
2021
2021-06-22
dc.type.none.fl_str_mv journal 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://hdl.handle.net/2117/347751
https://dx.doi.org/10.1007/s00208-017-1559-6
url https://hdl.handle.net/2117/347751
https://dx.doi.org/10.1007/s00208-017-1559-6
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
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
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:UPCommons. Portal del coneixement obert de la UPC
instname:Universitat Politècnica de Catalunya (UPC)
instname_str Universitat Politècnica de Catalunya (UPC)
reponame_str UPCommons. Portal del coneixement obert de la UPC
collection UPCommons. Portal del coneixement obert de la UPC
repository.name.fl_str_mv
repository.mail.fl_str_mv
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