Problemas elípticos superlineares com ressonância

Detalhes bibliográficos
Autor(a) principal: Ferreira, Fabiana Maria
Data de Publicação: 2015
Tipo de documento: Tese
Idioma: por
Título da fonte: Repositório Institucional da UFSCAR
Texto Completo: https://repositorio.ufscar.br/handle/ufscar/7077
Resumo: The aim of this work is to present results about the existence of non-trivial solutions for some classes of resonant and superlinear eliptic systems employing topological methods. More specifcally, we use a-priori bounds on the eventual solutions of this problems and topological degree theory.
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spelling Ferreira, Fabiana MariaPaiva, Francisco Odair Vieira dehttp://lattes.cnpq.br/2889322093175193http://lattes.cnpq.br/6448780169865730cf3fb9d9-3b89-4522-b7d5-27248eb6c3d02016-09-12T17:46:25Z2016-09-12T17:46:25Z2015-08-14FERREIRA, Fabiana Maria. Problemas elípticos superlineares com ressonância. 2015. Tese (Doutorado em Matemática) – Universidade Federal de São Carlos, São Carlos, 2015. Disponível em: https://repositorio.ufscar.br/handle/ufscar/7077.https://repositorio.ufscar.br/handle/ufscar/7077The aim of this work is to present results about the existence of non-trivial solutions for some classes of resonant and superlinear eliptic systems employing topological methods. More specifcally, we use a-priori bounds on the eventual solutions of this problems and topological degree theory.Neste trabalho apresentamos a existência de soluções não triviais para classes de sistemas elípticos ressonantes e superlineares. Tais sistemas são tratados via métodos topológicos. Encontramos estimativas a priori para possíveis soluções destes sistemas e utilizamos estas estimativas juntamente com a teoria do grau topológico para garantir a existência de soluções.Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)porUniversidade Federal de São CarlosCâmpus São CarlosPrograma de Pós-Graduação em Matemática - PPGMUFSCarSistemas elípticosGrau topológicoEstimativa a prioriRessonânciaElliptic systemsDegree theoryResonanceA priori boundsCIENCIAS EXATAS E DA TERRA::MATEMATICA::GEOMETRIA E TOPOLOGIAProblemas elípticos superlineares com ressonânciainfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/doctoralThesisOnline600600989bab05-2d67-47c4-ae4a-6faf42154aa5info:eu-repo/semantics/openAccessreponame:Repositório Institucional da UFSCARinstname:Universidade Federal de São Carlos (UFSCAR)instacron:UFSCARORIGINALTeseFMF.pdfTeseFMF.pdfapplication/pdf3344288https://repositorio.ufscar.br/bitstream/ufscar/7077/1/TeseFMF.pdf3bfb3caf40d3dcd756aa8697b58b5f19MD51LICENSElicense.txtlicense.txttext/plain; charset=utf-81957https://repositorio.ufscar.br/bitstream/ufscar/7077/2/license.txtae0398b6f8b235e40ad82cba6c50031dMD52TEXTTeseFMF.pdf.txtTeseFMF.pdf.txtExtracted texttext/plain105277https://repositorio.ufscar.br/bitstream/ufscar/7077/3/TeseFMF.pdf.txt96b84b696c0f22595cf48141c149f718MD53THUMBNAILTeseFMF.pdf.jpgTeseFMF.pdf.jpgIM Thumbnailimage/jpeg5273https://repositorio.ufscar.br/bitstream/ufscar/7077/4/TeseFMF.pdf.jpgef9a24100800fd4998b7a5c01aca418aMD54ufscar/70772023-09-18 18:30:43.296oai:repositorio.ufscar.br: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Repositório InstitucionalPUBhttps://repositorio.ufscar.br/oai/requestopendoar:43222023-09-18T18:30:43Repositório Institucional da UFSCAR - Universidade Federal de São Carlos (UFSCAR)false
dc.title.por.fl_str_mv Problemas elípticos superlineares com ressonância
title Problemas elípticos superlineares com ressonância
spellingShingle Problemas elípticos superlineares com ressonância
Ferreira, Fabiana Maria
Sistemas elípticos
Grau topológico
Estimativa a priori
Ressonância
Elliptic systems
Degree theory
Resonance
A priori bounds
CIENCIAS EXATAS E DA TERRA::MATEMATICA::GEOMETRIA E TOPOLOGIA
title_short Problemas elípticos superlineares com ressonância
title_full Problemas elípticos superlineares com ressonância
title_fullStr Problemas elípticos superlineares com ressonância
title_full_unstemmed Problemas elípticos superlineares com ressonância
title_sort Problemas elípticos superlineares com ressonância
author Ferreira, Fabiana Maria
author_facet Ferreira, Fabiana Maria
author_role author
dc.contributor.authorlattes.por.fl_str_mv http://lattes.cnpq.br/6448780169865730
dc.contributor.author.fl_str_mv Ferreira, Fabiana Maria
dc.contributor.advisor1.fl_str_mv Paiva, Francisco Odair Vieira de
dc.contributor.advisor1Lattes.fl_str_mv http://lattes.cnpq.br/2889322093175193
dc.contributor.authorID.fl_str_mv cf3fb9d9-3b89-4522-b7d5-27248eb6c3d0
contributor_str_mv Paiva, Francisco Odair Vieira de
dc.subject.por.fl_str_mv Sistemas elípticos
Grau topológico
Estimativa a priori
Ressonância
topic Sistemas elípticos
Grau topológico
Estimativa a priori
Ressonância
Elliptic systems
Degree theory
Resonance
A priori bounds
CIENCIAS EXATAS E DA TERRA::MATEMATICA::GEOMETRIA E TOPOLOGIA
dc.subject.eng.fl_str_mv Elliptic systems
Degree theory
Resonance
A priori bounds
dc.subject.cnpq.fl_str_mv CIENCIAS EXATAS E DA TERRA::MATEMATICA::GEOMETRIA E TOPOLOGIA
description The aim of this work is to present results about the existence of non-trivial solutions for some classes of resonant and superlinear eliptic systems employing topological methods. More specifcally, we use a-priori bounds on the eventual solutions of this problems and topological degree theory.
publishDate 2015
dc.date.issued.fl_str_mv 2015-08-14
dc.date.accessioned.fl_str_mv 2016-09-12T17:46:25Z
dc.date.available.fl_str_mv 2016-09-12T17:46:25Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/doctoralThesis
format doctoralThesis
status_str publishedVersion
dc.identifier.citation.fl_str_mv FERREIRA, Fabiana Maria. Problemas elípticos superlineares com ressonância. 2015. Tese (Doutorado em Matemática) – Universidade Federal de São Carlos, São Carlos, 2015. Disponível em: https://repositorio.ufscar.br/handle/ufscar/7077.
dc.identifier.uri.fl_str_mv https://repositorio.ufscar.br/handle/ufscar/7077
identifier_str_mv FERREIRA, Fabiana Maria. Problemas elípticos superlineares com ressonância. 2015. Tese (Doutorado em Matemática) – Universidade Federal de São Carlos, São Carlos, 2015. Disponível em: https://repositorio.ufscar.br/handle/ufscar/7077.
url https://repositorio.ufscar.br/handle/ufscar/7077
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dc.relation.confidence.fl_str_mv 600
600
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dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Universidade Federal de São Carlos
Câmpus São Carlos
dc.publisher.program.fl_str_mv Programa de Pós-Graduação em Matemática - PPGM
dc.publisher.initials.fl_str_mv UFSCar
publisher.none.fl_str_mv Universidade Federal de São Carlos
Câmpus São Carlos
dc.source.none.fl_str_mv reponame:Repositório Institucional da UFSCAR
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