Local coercivity for semilinear elliptic problems

Detalhes bibliográficos
Autor(a) principal: Mendoza Aranda, José Miguel
Data de Publicação: 2018
Tipo de documento: Tese
Idioma: eng
Título da fonte: Repositório Institucional da UFSCAR
Texto Completo: https://repositorio.ufscar.br/handle/ufscar/10016
Resumo: We study a non-homogeneous semilinear eliptic problem with Dirichlet condition baundary in a bounded domain and we show existence of solution. Also extend the result to the fraccionary laplacian case and to the homogeneous case we give a result of multiplicity. And to the perturbated problem we find more solutions than the original problem.
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spelling Mendoza Aranda, José MiguelPaiva, Francisco Odair Vieira dehttp://lattes.cnpq.br/2889322093175193Arcoya Álvarez, Davidhttp://lattes.cnpq.br/8615067875072268d78ae8a9-8a39-48e3-8092-aa1ec6bfd2812018-05-15T13:59:13Z2018-05-15T13:59:13Z2018-03-13MENDOZA ARANDA, José Miguel. Local coercivity for semilinear elliptic problems. 2018. Tese (Doutorado em Matemática) – Universidade Federal de São Carlos, São Carlos, 2018. Disponível em: https://repositorio.ufscar.br/handle/ufscar/10016.https://repositorio.ufscar.br/handle/ufscar/10016We study a non-homogeneous semilinear eliptic problem with Dirichlet condition baundary in a bounded domain and we show existence of solution. Also extend the result to the fraccionary laplacian case and to the homogeneous case we give a result of multiplicity. And to the perturbated problem we find more solutions than the original problem.Estudamos um problema elíptico semilinear não homogêneo com condição de fronteira de Dirichlet num domínio limitado e demostramos existência de soluções. Também generalizamos o resultado para o caso do laplaciano fraccionario e para o caso homogêneo damos resultado de multiplicidade. E para o problema perturbado encontramos mais soluções que o problema original.Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)FAPESP: 2013/22044-0engUniversidade Federal de São CarlosCâmpus São CarlosPrograma de Pós-Graduação em Matemática - PPGMUFSCarProblemas elítpticosEquações diferenciais parciaisMétodos variacionaisTeoría de MorseCIENCIAS EXATAS E DA TERRA::MATEMATICA::ANALISELocal coercivity for semilinear elliptic problemsinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/doctoralThesisOnline600989bab05-2d67-47c4-ae4a-6faf42154aa5info:eu-repo/semantics/openAccessreponame:Repositório Institucional da UFSCARinstname:Universidade Federal de São Carlos (UFSCAR)instacron:UFSCARLICENSElicense.txtlicense.txttext/plain; charset=utf-81957https://repositorio.ufscar.br/bitstream/ufscar/10016/4/license.txtae0398b6f8b235e40ad82cba6c50031dMD54ORIGINALARANDA_Jose_2018.pdfARANDA_Jose_2018.pdfapplication/pdf867170https://repositorio.ufscar.br/bitstream/ufscar/10016/5/ARANDA_Jose_2018.pdf560ded3134129c6ba330dbae1b9d1e98MD55TEXTARANDA_Jose_2018.pdf.txtARANDA_Jose_2018.pdf.txtExtracted texttext/plain74630https://repositorio.ufscar.br/bitstream/ufscar/10016/6/ARANDA_Jose_2018.pdf.txtc004b7e80b38fb9c44f74a075e78c02aMD56THUMBNAILARANDA_Jose_2018.pdf.jpgARANDA_Jose_2018.pdf.jpgIM Thumbnailimage/jpeg8088https://repositorio.ufscar.br/bitstream/ufscar/10016/7/ARANDA_Jose_2018.pdf.jpgb0adb34f357629ba018e1def80f779c2MD57ufscar/100162023-09-18 18:31:16.991oai:repositorio.ufscar.br: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Repositório InstitucionalPUBhttps://repositorio.ufscar.br/oai/requestopendoar:43222023-09-18T18:31:16Repositório Institucional da UFSCAR - Universidade Federal de São Carlos (UFSCAR)false
dc.title.eng.fl_str_mv Local coercivity for semilinear elliptic problems
title Local coercivity for semilinear elliptic problems
spellingShingle Local coercivity for semilinear elliptic problems
Mendoza Aranda, José Miguel
Problemas elítpticos
Equações diferenciais parciais
Métodos variacionais
Teoría de Morse
CIENCIAS EXATAS E DA TERRA::MATEMATICA::ANALISE
title_short Local coercivity for semilinear elliptic problems
title_full Local coercivity for semilinear elliptic problems
title_fullStr Local coercivity for semilinear elliptic problems
title_full_unstemmed Local coercivity for semilinear elliptic problems
title_sort Local coercivity for semilinear elliptic problems
author Mendoza Aranda, José Miguel
author_facet Mendoza Aranda, José Miguel
author_role author
dc.contributor.advisor.none.fl_str_mv
dc.contributor.authorlattes.por.fl_str_mv http://lattes.cnpq.br/8615067875072268
dc.contributor.author.fl_str_mv Mendoza Aranda, José Miguel
dc.contributor.advisor1.fl_str_mv Paiva, Francisco Odair Vieira de
dc.contributor.advisor1Lattes.fl_str_mv http://lattes.cnpq.br/2889322093175193
dc.contributor.advisor-co1.fl_str_mv Arcoya Álvarez, David
dc.contributor.authorID.fl_str_mv d78ae8a9-8a39-48e3-8092-aa1ec6bfd281
contributor_str_mv Paiva, Francisco Odair Vieira de
Arcoya Álvarez, David
dc.subject.por.fl_str_mv Problemas elítpticos
Equações diferenciais parciais
Métodos variacionais
Teoría de Morse
topic Problemas elítpticos
Equações diferenciais parciais
Métodos variacionais
Teoría de Morse
CIENCIAS EXATAS E DA TERRA::MATEMATICA::ANALISE
dc.subject.cnpq.fl_str_mv CIENCIAS EXATAS E DA TERRA::MATEMATICA::ANALISE
description We study a non-homogeneous semilinear eliptic problem with Dirichlet condition baundary in a bounded domain and we show existence of solution. Also extend the result to the fraccionary laplacian case and to the homogeneous case we give a result of multiplicity. And to the perturbated problem we find more solutions than the original problem.
publishDate 2018
dc.date.accessioned.fl_str_mv 2018-05-15T13:59:13Z
dc.date.available.fl_str_mv 2018-05-15T13:59:13Z
dc.date.issued.fl_str_mv 2018-03-13
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 MENDOZA ARANDA, José Miguel. Local coercivity for semilinear elliptic problems. 2018. Tese (Doutorado em Matemática) – Universidade Federal de São Carlos, São Carlos, 2018. Disponível em: https://repositorio.ufscar.br/handle/ufscar/10016.
dc.identifier.uri.fl_str_mv https://repositorio.ufscar.br/handle/ufscar/10016
identifier_str_mv MENDOZA ARANDA, José Miguel. Local coercivity for semilinear elliptic problems. 2018. Tese (Doutorado em Matemática) – Universidade Federal de São Carlos, São Carlos, 2018. Disponível em: https://repositorio.ufscar.br/handle/ufscar/10016.
url https://repositorio.ufscar.br/handle/ufscar/10016
dc.language.iso.fl_str_mv eng
language eng
dc.relation.confidence.fl_str_mv 600
dc.relation.authority.fl_str_mv 989bab05-2d67-47c4-ae4a-6faf42154aa5
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
instname:Universidade Federal de São Carlos (UFSCAR)
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reponame_str Repositório Institucional da UFSCAR
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