Inequalities for jacobians: interpolation techniques

Recently new and surprising integrability properties were discovered for the Jacobians of orientation preserving maps. These results have interesting applications to variational problems in elasticity theory, compensated compactness and other areas. We review some of the main results and present new...

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Autores:
Milman, Mario
Tipo de recurso:
Article of journal
Fecha de publicación:
1993
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/43589
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/43589
http://bdigital.unal.edu.co/33687/
Palabra clave:
Integrability properties
Jacobians of maps
orientation preservatives
variational problems
elasticity theory
open problems
interpolation theor
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
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oai_identifier_str oai:repositorio.unal.edu.co:unal/43589
network_acronym_str UNACIONAL2
network_name_str Universidad Nacional de Colombia
repository_id_str
spelling Atribución-NoComercial 4.0 InternacionalDerechos reservados - Universidad Nacional de Colombiahttp://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Milman, Mario908ba82d-dac9-4b46-8e65-92994b04d2683002019-06-28T12:10:31Z2019-06-28T12:10:31Z1993https://repositorio.unal.edu.co/handle/unal/43589http://bdigital.unal.edu.co/33687/Recently new and surprising integrability properties were discovered for the Jacobians of orientation preserving maps. These results have interesting applications to variational problems in elasticity theory, compensated compactness and other areas. We review some of the main results and present new estimates that resolve some open problems in the area. Our methods are based on techniques from Interpolation theory.application/pdfspaUniversidad Nacuional de Colombia; Sociedad Colombiana de matemáticashttp://revistas.unal.edu.co/index.php/recolma/article/view/33576Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de MatemáticasRevista Colombiana de MatemáticasRevista Colombiana de Matemáticas; Vol. 27, núm. 1-2 (1993); 67-81 0034-7426Milman, Mario (1993) Inequalities for jacobians: interpolation techniques. Revista Colombiana de Matemáticas; Vol. 27, núm. 1-2 (1993); 67-81 0034-7426 .Inequalities for jacobians: interpolation techniquesArtículo de revistainfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1http://purl.org/coar/version/c_970fb48d4fbd8a85Texthttp://purl.org/redcol/resource_type/ARTIntegrability propertiesJacobians of mapsorientation preservativesvariational problemselasticity theoryopen problemsinterpolation theorORIGINAL33576-124672-1-PB.pdfapplication/pdf5887859https://repositorio.unal.edu.co/bitstream/unal/43589/1/33576-124672-1-PB.pdf8b0a9794ec0c3fd69b36e14713e5b6c2MD51THUMBNAIL33576-124672-1-PB.pdf.jpg33576-124672-1-PB.pdf.jpgGenerated Thumbnailimage/jpeg7884https://repositorio.unal.edu.co/bitstream/unal/43589/2/33576-124672-1-PB.pdf.jpgbb8750be0f4a5527aff681fd1867923eMD52unal/43589oai:repositorio.unal.edu.co:unal/435892023-02-13 23:04:17.922Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv Inequalities for jacobians: interpolation techniques
title Inequalities for jacobians: interpolation techniques
spellingShingle Inequalities for jacobians: interpolation techniques
Integrability properties
Jacobians of maps
orientation preservatives
variational problems
elasticity theory
open problems
interpolation theor
title_short Inequalities for jacobians: interpolation techniques
title_full Inequalities for jacobians: interpolation techniques
title_fullStr Inequalities for jacobians: interpolation techniques
title_full_unstemmed Inequalities for jacobians: interpolation techniques
title_sort Inequalities for jacobians: interpolation techniques
dc.creator.fl_str_mv Milman, Mario
dc.contributor.author.spa.fl_str_mv Milman, Mario
dc.subject.proposal.spa.fl_str_mv Integrability properties
Jacobians of maps
orientation preservatives
variational problems
elasticity theory
open problems
interpolation theor
topic Integrability properties
Jacobians of maps
orientation preservatives
variational problems
elasticity theory
open problems
interpolation theor
description Recently new and surprising integrability properties were discovered for the Jacobians of orientation preserving maps. These results have interesting applications to variational problems in elasticity theory, compensated compactness and other areas. We review some of the main results and present new estimates that resolve some open problems in the area. Our methods are based on techniques from Interpolation theory.
publishDate 1993
dc.date.issued.spa.fl_str_mv 1993
dc.date.accessioned.spa.fl_str_mv 2019-06-28T12:10:31Z
dc.date.available.spa.fl_str_mv 2019-06-28T12:10:31Z
dc.type.spa.fl_str_mv Artículo de revista
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dc.type.content.spa.fl_str_mv Text
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format http://purl.org/coar/resource_type/c_6501
status_str publishedVersion
dc.identifier.uri.none.fl_str_mv https://repositorio.unal.edu.co/handle/unal/43589
dc.identifier.eprints.spa.fl_str_mv http://bdigital.unal.edu.co/33687/
url https://repositorio.unal.edu.co/handle/unal/43589
http://bdigital.unal.edu.co/33687/
dc.language.iso.spa.fl_str_mv spa
language spa
dc.relation.spa.fl_str_mv http://revistas.unal.edu.co/index.php/recolma/article/view/33576
dc.relation.ispartof.spa.fl_str_mv Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de Matemáticas
Revista Colombiana de Matemáticas
dc.relation.ispartofseries.none.fl_str_mv Revista Colombiana de Matemáticas; Vol. 27, núm. 1-2 (1993); 67-81 0034-7426
dc.relation.references.spa.fl_str_mv Milman, Mario (1993) Inequalities for jacobians: interpolation techniques. Revista Colombiana de Matemáticas; Vol. 27, núm. 1-2 (1993); 67-81 0034-7426 .
dc.rights.spa.fl_str_mv Derechos reservados - Universidad Nacional de Colombia
dc.rights.coar.fl_str_mv http://purl.org/coar/access_right/c_abf2
dc.rights.license.spa.fl_str_mv Atribución-NoComercial 4.0 Internacional
dc.rights.uri.spa.fl_str_mv http://creativecommons.org/licenses/by-nc/4.0/
dc.rights.accessrights.spa.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv Atribución-NoComercial 4.0 Internacional
Derechos reservados - Universidad Nacional de Colombia
http://creativecommons.org/licenses/by-nc/4.0/
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.mimetype.spa.fl_str_mv application/pdf
dc.publisher.spa.fl_str_mv Universidad Nacuional de Colombia; Sociedad Colombiana de matemáticas
institution Universidad Nacional de Colombia
bitstream.url.fl_str_mv https://repositorio.unal.edu.co/bitstream/unal/43589/1/33576-124672-1-PB.pdf
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repository.name.fl_str_mv Repositorio Institucional Universidad Nacional de Colombia
repository.mail.fl_str_mv repositorio_nal@unal.edu.co
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