Recent progress on the Monge-Ampère equation

Autores
Forzani, Liliana Maria; Maldonado, Diego
Año de publicación
2005
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We consider convex solutions to the Monge-Ampere equation when the measure is doubling.We summarized the latest results on geometric and measure theoretic properties associatesto the solutions. We also discuss applications such as the real analysis related to the solutions and the Holder regularity of the gradient of the solutions.
Fil: Forzani, Liliana Maria. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; Argentina
Fil: Maldonado, Diego. University of Kansas; Estados Unidos
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/84283
Acceder
id CONICETDig_3a96d95dca9d821120ec54e310b02518
oai_identifier_str oai:ri.conicet.gov.ar:11336/84283
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Recent progress on the Monge-Ampère equationForzani, Liliana MariaMaldonado, Diegohttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We consider convex solutions to the Monge-Ampere equation when the measure is doubling.We summarized the latest results on geometric and measure theoretic properties associatesto the solutions. We also discuss applications such as the real analysis related to the solutions and the Holder regularity of the gradient of the solutions.Fil: Forzani, Liliana Maria. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; ArgentinaFil: Maldonado, Diego. University of Kansas; Estados UnidosAmerican Mathematical Society2005-12info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/84283Forzani, Liliana Maria; Maldonado, Diego; Recent progress on the Monge-Ampère equation; American Mathematical Society; Contemporary Mathematics; 370; 12-2005; 189-1980271-4132CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1090/conm/370/06836info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-15T15:32:05Zoai:ri.conicet.gov.ar:11336/84283instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-10-15 15:32:05.301CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Recent progress on the Monge-Ampère equation
title Recent progress on the Monge-Ampère equation
spellingShingle Recent progress on the Monge-Ampère equation
Forzani, Liliana Maria
title_short Recent progress on the Monge-Ampère equation
title_full Recent progress on the Monge-Ampère equation
title_fullStr Recent progress on the Monge-Ampère equation
title_full_unstemmed Recent progress on the Monge-Ampère equation
title_sort Recent progress on the Monge-Ampère equation
dc.creator.none.fl_str_mv Forzani, Liliana Maria
Maldonado, Diego
author Forzani, Liliana Maria
author_facet Forzani, Liliana Maria
Maldonado, Diego
author_role author
author2 Maldonado, Diego
author2_role author
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We consider convex solutions to the Monge-Ampere equation when the measure is doubling.We summarized the latest results on geometric and measure theoretic properties associatesto the solutions. We also discuss applications such as the real analysis related to the solutions and the Holder regularity of the gradient of the solutions.
Fil: Forzani, Liliana Maria. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; Argentina
Fil: Maldonado, Diego. University of Kansas; Estados Unidos
description We consider convex solutions to the Monge-Ampere equation when the measure is doubling.We summarized the latest results on geometric and measure theoretic properties associatesto the solutions. We also discuss applications such as the real analysis related to the solutions and the Holder regularity of the gradient of the solutions.
publishDate 2005
dc.date.none.fl_str_mv 2005-12
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/84283
Forzani, Liliana Maria; Maldonado, Diego; Recent progress on the Monge-Ampère equation; American Mathematical Society; Contemporary Mathematics; 370; 12-2005; 189-198
0271-4132
CONICET Digital
CONICET
url http://hdl.handle.net/11336/84283
identifier_str_mv Forzani, Liliana Maria; Maldonado, Diego; Recent progress on the Monge-Ampère equation; American Mathematical Society; Contemporary Mathematics; 370; 12-2005; 189-198
0271-4132
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1090/conm/370/06836
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv American Mathematical Society
publisher.none.fl_str_mv American Mathematical Society
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
_version_ 1846083455234867200
score 13.22299

Publicaciones similares