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
.jpg)
- Institución
- Universidad Nacional de La Plata
- OAI Identificador
- oai:sedici.unlp.edu.ar:10915/156340
Ver los metadatos del registro completo
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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:UNLP2025-10-15T11:32:27Zoai: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:13292025-10-15 11:32:27.892SEDICI (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/article info:eu-repo/semantics/publishedVersion Articulo http://purl.org/coar/resource_type/c_6501 info:ar-repo/semantics/articulo |
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publishedVersion |
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http://sedici.unlp.edu.ar/handle/10915/156340 |
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http://sedici.unlp.edu.ar/handle/10915/156340 |
| dc.language.none.fl_str_mv |
eng |
| language |
eng |
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info:eu-repo/semantics/altIdentifier/issn/1669-9637 info:eu-repo/semantics/altIdentifier/doi/10.33044/revuma.v61n1a01 |
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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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openAccess |
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http://creativecommons.org/licenses/by/4.0/ Creative Commons Attribution 4.0 International (CC BY 4.0) |
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application/pdf 1-47 |
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