Critical singular problems on unbounded domains

Detalhes bibliográficos
Autor(a) principal: Morais Filho, D. C. de
Data de Publicação: 2004
Outros Autores: Miyagaki, O. H.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: LOCUS Repositório Institucional da UFV
Texto Completo: http://dx.doi.org/10.1155/AAA.2005.639
http://www.locus.ufv.br/handle/123456789/16853
Resumo: We present some results of existence for the following problem: − ∆u = a(x)g(u)+u | u | 2 − 2 , x ∈ R N (N ≥ 3), u ∈ D 1,2 ( R N ), where the function a is a sign-changing function with a singularity at the origin and g has growth up to the Sobolev critical exponent 2 ∗ = 2N/(N − 2).
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spelling Morais Filho, D. C. deMiyagaki, O. H.2018-01-26T12:06:18Z2018-01-26T12:06:18Z2004-04-301687-0409http://dx.doi.org/10.1155/AAA.2005.639http://www.locus.ufv.br/handle/123456789/16853We present some results of existence for the following problem: − ∆u = a(x)g(u)+u | u | 2 − 2 , x ∈ R N (N ≥ 3), u ∈ D 1,2 ( R N ), where the function a is a sign-changing function with a singularity at the origin and g has growth up to the Sobolev critical exponent 2 ∗ = 2N/(N − 2).engAbstract and Applied AnalysisVolume 2005, Issue 6, Pages 639-653, 2005Unbounded domainsCritical problemsSingular problemsCritical singular problems on unbounded domainsinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfinfo:eu-repo/semantics/openAccessreponame:LOCUS Repositório Institucional da UFVinstname:Universidade Federal de Viçosa (UFV)instacron:UFVORIGINALartigo.pdfartigo.pdftexto completoapplication/pdf1976207https://locus.ufv.br//bitstream/123456789/16853/1/artigo.pdfd308969bb437f7d542bb545900c4e73aMD51LICENSElicense.txtlicense.txttext/plain; charset=utf-81748https://locus.ufv.br//bitstream/123456789/16853/2/license.txt8a4605be74aa9ea9d79846c1fba20a33MD52THUMBNAILartigo.pdf.jpgartigo.pdf.jpgIM Thumbnailimage/jpeg4670https://locus.ufv.br//bitstream/123456789/16853/3/artigo.pdf.jpgc17f316101417165ab668c3976773397MD53123456789/168532018-01-26 22:00:30.266oai:locus.ufv.br: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Repositório InstitucionalPUBhttps://www.locus.ufv.br/oai/requestfabiojreis@ufv.bropendoar:21452018-01-27T01:00:30LOCUS Repositório Institucional da UFV - Universidade Federal de Viçosa (UFV)false
dc.title.en.fl_str_mv Critical singular problems on unbounded domains
title Critical singular problems on unbounded domains
spellingShingle Critical singular problems on unbounded domains
Morais Filho, D. C. de
Unbounded domains
Critical problems
Singular problems
title_short Critical singular problems on unbounded domains
title_full Critical singular problems on unbounded domains
title_fullStr Critical singular problems on unbounded domains
title_full_unstemmed Critical singular problems on unbounded domains
title_sort Critical singular problems on unbounded domains
author Morais Filho, D. C. de
author_facet Morais Filho, D. C. de
Miyagaki, O. H.
author_role author
author2 Miyagaki, O. H.
author2_role author
dc.contributor.author.fl_str_mv Morais Filho, D. C. de
Miyagaki, O. H.
dc.subject.pt-BR.fl_str_mv Unbounded domains
Critical problems
Singular problems
topic Unbounded domains
Critical problems
Singular problems
description We present some results of existence for the following problem: − ∆u = a(x)g(u)+u | u | 2 − 2 , x ∈ R N (N ≥ 3), u ∈ D 1,2 ( R N ), where the function a is a sign-changing function with a singularity at the origin and g has growth up to the Sobolev critical exponent 2 ∗ = 2N/(N − 2).
publishDate 2004
dc.date.issued.fl_str_mv 2004-04-30
dc.date.accessioned.fl_str_mv 2018-01-26T12:06:18Z
dc.date.available.fl_str_mv 2018-01-26T12:06:18Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
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status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.1155/AAA.2005.639
http://www.locus.ufv.br/handle/123456789/16853
dc.identifier.issn.none.fl_str_mv 1687-0409
identifier_str_mv 1687-0409
url http://dx.doi.org/10.1155/AAA.2005.639
http://www.locus.ufv.br/handle/123456789/16853
dc.language.iso.fl_str_mv eng
language eng
dc.relation.ispartofseries.pt-BR.fl_str_mv Volume 2005, Issue 6, Pages 639-653, 2005
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
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dc.publisher.none.fl_str_mv Abstract and Applied Analysis
publisher.none.fl_str_mv Abstract and Applied Analysis
dc.source.none.fl_str_mv reponame:LOCUS Repositório Institucional da UFV
instname:Universidade Federal de Viçosa (UFV)
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