Local solvability of elliptic equations of even order with Hölder coefficients

Autores
Muschietti, María Amelia; Tournier, Federico
Año de publicación
2020
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We consider elliptic equations of order 2m with Hölder coefficients. We show local solvability of the Dirichlet problem with m conditions on the boundary of the upper half space. First we consider local solvability in free space and then we treat the boundary case. Our method is based on applying the operator to an approximate solution and iterating in the Hölder spaces. A priori estimates for the approximate solution is the essential part of the paper.
Facultad de Ciencias Exactas
Materia
Matemática
Higher order elliptic equations
A priori estimates
Hölder coefficients
Boundary estimates
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/156340

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spelling Local solvability of elliptic equations of even order with Hölder coefficientsMuschietti, María AmeliaTournier, FedericoMatemáticaHigher order elliptic equationsA priori estimatesHölder coefficientsBoundary estimatesWe consider elliptic equations of order 2m with Hölder coefficients. We show local solvability of the Dirichlet problem with m conditions on the boundary of the upper half space. First we consider local solvability in free space and then we treat the boundary case. Our method is based on applying the operator to an approximate solution and iterating in the Hölder spaces. A priori estimates for the approximate solution is the essential part of the paper.Facultad de Ciencias Exactas2020info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf1-47http://sedici.unlp.edu.ar/handle/10915/156340enginfo:eu-repo/semantics/altIdentifier/issn/1669-9637info:eu-repo/semantics/altIdentifier/doi/10.33044/revuma.v61n1a01info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/4.0/Creative Commons Attribution 4.0 International (CC BY 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-09-29T11:40:37Zoai:sedici.unlp.edu.ar:10915/156340Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-29 11:40:37.937SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Local solvability of elliptic equations of even order with Hölder coefficients
title Local solvability of elliptic equations of even order with Hölder coefficients
spellingShingle Local solvability of elliptic equations of even order with Hölder coefficients
Muschietti, María Amelia
Matemática
Higher order elliptic equations
A priori estimates
Hölder coefficients
Boundary estimates
title_short Local solvability of elliptic equations of even order with Hölder coefficients
title_full Local solvability of elliptic equations of even order with Hölder coefficients
title_fullStr Local solvability of elliptic equations of even order with Hölder coefficients
title_full_unstemmed Local solvability of elliptic equations of even order with Hölder coefficients
title_sort Local solvability of elliptic equations of even order with Hölder coefficients
dc.creator.none.fl_str_mv Muschietti, María Amelia
Tournier, Federico
author Muschietti, María Amelia
author_facet Muschietti, María Amelia
Tournier, Federico
author_role author
author2 Tournier, Federico
author2_role author
dc.subject.none.fl_str_mv Matemática
Higher order elliptic equations
A priori estimates
Hölder coefficients
Boundary estimates
topic Matemática
Higher order elliptic equations
A priori estimates
Hölder coefficients
Boundary estimates
dc.description.none.fl_txt_mv We consider elliptic equations of order 2m with Hölder coefficients. We show local solvability of the Dirichlet problem with m conditions on the boundary of the upper half space. First we consider local solvability in free space and then we treat the boundary case. Our method is based on applying the operator to an approximate solution and iterating in the Hölder spaces. A priori estimates for the approximate solution is the essential part of the paper.
Facultad de Ciencias Exactas
description We consider elliptic equations of order 2m with Hölder coefficients. We show local solvability of the Dirichlet problem with m conditions on the boundary of the upper half space. First we consider local solvability in free space and then we treat the boundary case. Our method is based on applying the operator to an approximate solution and iterating in the Hölder spaces. A priori estimates for the approximate solution is the essential part of the paper.
publishDate 2020
dc.date.none.fl_str_mv 2020
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info:eu-repo/semantics/publishedVersion
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status_str publishedVersion
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url http://sedici.unlp.edu.ar/handle/10915/156340
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/issn/1669-9637
info:eu-repo/semantics/altIdentifier/doi/10.33044/revuma.v61n1a01
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by/4.0/
Creative Commons Attribution 4.0 International (CC BY 4.0)
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Creative Commons Attribution 4.0 International (CC BY 4.0)
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