Existence results for quasilinear elliptic exterior problems involving convection term and nonlinear Robin boundary conditions

Detalhes bibliográficos
Autor(a) principal: Miyagaki, Olímpio H.
Data de Publicação: 2010
Outros Autores: Faria, Luiz F. O., Pereira, Fábio R.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: LOCUS Repositório Institucional da UFV
Texto Completo: https://doi.org/10.1016/j.jmaa.2010.02.055
http://www.locus.ufv.br/handle/123456789/21907
Resumo: In this paper, the authors establish the existence of solutions for a class of elliptic exterior problems involving convection terms and nonlinear Robin boundary conditions. The proof of the result is made by combining Galerkin method with a priori estimates for this kind of problem.
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spelling Miyagaki, Olímpio H.Faria, Luiz F. O.Pereira, Fábio R.2018-09-20T18:24:13Z2018-09-20T18:24:13Z2010-08-150022247Xhttps://doi.org/10.1016/j.jmaa.2010.02.055http://www.locus.ufv.br/handle/123456789/21907In this paper, the authors establish the existence of solutions for a class of elliptic exterior problems involving convection terms and nonlinear Robin boundary conditions. The proof of the result is made by combining Galerkin method with a priori estimates for this kind of problem.pdfpt-BRengJournal of Mathematical Analysis and Applicationsv. 368, n. 2, p. 578- 586, ago. 2010Nonlinear boundaryExterior domainGradient termRobin problemExistence results for quasilinear elliptic exterior problems involving convection term and nonlinear Robin boundary conditionsinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccessreponame:LOCUS Repositório Institucional da UFVinstname:Universidade Federal de Viçosa (UFV)instacron:UFVORIGINALartigo.pdfartigo.pdftexto completoapplication/pdf196965https://locus.ufv.br//bitstream/123456789/21907/1/artigo.pdfc2d69e8c95fa65be5c95c1c2a82e94dfMD51LICENSElicense.txtlicense.txttext/plain; charset=utf-81748https://locus.ufv.br//bitstream/123456789/21907/2/license.txt8a4605be74aa9ea9d79846c1fba20a33MD52THUMBNAILartigo.pdf.jpgartigo.pdf.jpgIM Thumbnailimage/jpeg5056https://locus.ufv.br//bitstream/123456789/21907/3/artigo.pdf.jpg946a8f79798890872017a84bf4fed2dfMD53123456789/219072018-09-20 23:00:42.176oai:locus.ufv.br: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Repositório InstitucionalPUBhttps://www.locus.ufv.br/oai/requestfabiojreis@ufv.bropendoar:21452018-09-21T02:00:42LOCUS Repositório Institucional da UFV - Universidade Federal de Viçosa (UFV)false
dc.title.en.fl_str_mv Existence results for quasilinear elliptic exterior problems involving convection term and nonlinear Robin boundary conditions
title Existence results for quasilinear elliptic exterior problems involving convection term and nonlinear Robin boundary conditions
spellingShingle Existence results for quasilinear elliptic exterior problems involving convection term and nonlinear Robin boundary conditions
Miyagaki, Olímpio H.
Nonlinear boundary
Exterior domain
Gradient term
Robin problem
title_short Existence results for quasilinear elliptic exterior problems involving convection term and nonlinear Robin boundary conditions
title_full Existence results for quasilinear elliptic exterior problems involving convection term and nonlinear Robin boundary conditions
title_fullStr Existence results for quasilinear elliptic exterior problems involving convection term and nonlinear Robin boundary conditions
title_full_unstemmed Existence results for quasilinear elliptic exterior problems involving convection term and nonlinear Robin boundary conditions
title_sort Existence results for quasilinear elliptic exterior problems involving convection term and nonlinear Robin boundary conditions
author Miyagaki, Olímpio H.
author_facet Miyagaki, Olímpio H.
Faria, Luiz F. O.
Pereira, Fábio R.
author_role author
author2 Faria, Luiz F. O.
Pereira, Fábio R.
author2_role author
author
dc.contributor.author.fl_str_mv Miyagaki, Olímpio H.
Faria, Luiz F. O.
Pereira, Fábio R.
dc.subject.pt-BR.fl_str_mv Nonlinear boundary
Exterior domain
Gradient term
Robin problem
topic Nonlinear boundary
Exterior domain
Gradient term
Robin problem
description In this paper, the authors establish the existence of solutions for a class of elliptic exterior problems involving convection terms and nonlinear Robin boundary conditions. The proof of the result is made by combining Galerkin method with a priori estimates for this kind of problem.
publishDate 2010
dc.date.issued.fl_str_mv 2010-08-15
dc.date.accessioned.fl_str_mv 2018-09-20T18:24:13Z
dc.date.available.fl_str_mv 2018-09-20T18:24:13Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv https://doi.org/10.1016/j.jmaa.2010.02.055
http://www.locus.ufv.br/handle/123456789/21907
dc.identifier.issn.none.fl_str_mv 0022247X
identifier_str_mv 0022247X
url https://doi.org/10.1016/j.jmaa.2010.02.055
http://www.locus.ufv.br/handle/123456789/21907
dc.language.iso.fl_str_mv eng
language eng
dc.relation.ispartofseries.pt-BR.fl_str_mv v. 368, n. 2, p. 578- 586, ago. 2010
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv pdfpt-BR
dc.publisher.none.fl_str_mv Journal of Mathematical Analysis and Applications
publisher.none.fl_str_mv Journal of Mathematical Analysis and Applications
dc.source.none.fl_str_mv reponame:LOCUS Repositório Institucional da UFV
instname:Universidade Federal de Viçosa (UFV)
instacron:UFV
instname_str Universidade Federal de Viçosa (UFV)
instacron_str UFV
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reponame_str LOCUS Repositório Institucional da UFV
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