A note on existence of antisymmetric solutions for a class of nonlinear Schrödinger equations

Detalhes bibliográficos
Autor(a) principal: Miyagaki, Olimpio H.
Data de Publicação: 2010
Outros Autores: Carvalho, Janete S., Maia, Liliane A.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: LOCUS Repositório Institucional da UFV
Texto Completo: http://dx.doi.org/10.1007/s00033-010-0070-7
http://www.locus.ufv.br/handle/123456789/21498
Resumo: We consider the nonlinear Schrödinger equation −△u+V(x)u=f(u)inℝN. We assume that V is invariant under an orthogonal involution and show the existence of a particular type of sign changing solution. The basic tool employed here is the Concentration–Compactness Principle.
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spelling Miyagaki, Olimpio H.Carvalho, Janete S.Maia, Liliane A.2018-08-29T11:12:26Z2018-08-29T11:12:26Z2010-03-2414209039http://dx.doi.org/10.1007/s00033-010-0070-7http://www.locus.ufv.br/handle/123456789/21498We consider the nonlinear Schrödinger equation −△u+V(x)u=f(u)inℝN. We assume that V is invariant under an orthogonal involution and show the existence of a particular type of sign changing solution. The basic tool employed here is the Concentration–Compactness Principle.engZeitschrift für angewandte Mathematik und Physikv. 62, n. 1, p. 67– 86, fev. 2011Springer Nature Switzerland AG.info:eu-repo/semantics/openAccessNonlinear Schrödinger equationConcentration–CompactnessprincipleA note on existence of antisymmetric solutions for a class of nonlinear Schrödinger equationsinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfreponame:LOCUS Repositório Institucional da UFVinstname:Universidade Federal de Viçosa (UFV)instacron:UFVORIGINALartigo.pdfartigo.pdftexto completoapplication/pdf288414https://locus.ufv.br//bitstream/123456789/21498/1/artigo.pdf101f705bfe439506280c6861abf9ca8aMD51LICENSElicense.txtlicense.txttext/plain; charset=utf-81748https://locus.ufv.br//bitstream/123456789/21498/2/license.txt8a4605be74aa9ea9d79846c1fba20a33MD52THUMBNAILartigo.pdf.jpgartigo.pdf.jpgIM Thumbnailimage/jpeg4834https://locus.ufv.br//bitstream/123456789/21498/3/artigo.pdf.jpge07715dadff4f7d4cbd22738f4aae92fMD53123456789/214982018-08-29 23:00:46.966oai:locus.ufv.br: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Repositório InstitucionalPUBhttps://www.locus.ufv.br/oai/requestfabiojreis@ufv.bropendoar:21452018-08-30T02:00:46LOCUS Repositório Institucional da UFV - Universidade Federal de Viçosa (UFV)false
dc.title.en.fl_str_mv A note on existence of antisymmetric solutions for a class of nonlinear Schrödinger equations
title A note on existence of antisymmetric solutions for a class of nonlinear Schrödinger equations
spellingShingle A note on existence of antisymmetric solutions for a class of nonlinear Schrödinger equations
Miyagaki, Olimpio H.
Nonlinear Schrödinger equation
Concentration–Compactnessprinciple
title_short A note on existence of antisymmetric solutions for a class of nonlinear Schrödinger equations
title_full A note on existence of antisymmetric solutions for a class of nonlinear Schrödinger equations
title_fullStr A note on existence of antisymmetric solutions for a class of nonlinear Schrödinger equations
title_full_unstemmed A note on existence of antisymmetric solutions for a class of nonlinear Schrödinger equations
title_sort A note on existence of antisymmetric solutions for a class of nonlinear Schrödinger equations
author Miyagaki, Olimpio H.
author_facet Miyagaki, Olimpio H.
Carvalho, Janete S.
Maia, Liliane A.
author_role author
author2 Carvalho, Janete S.
Maia, Liliane A.
author2_role author
author
dc.contributor.author.fl_str_mv Miyagaki, Olimpio H.
Carvalho, Janete S.
Maia, Liliane A.
dc.subject.pt-BR.fl_str_mv Nonlinear Schrödinger equation
Concentration–Compactnessprinciple
topic Nonlinear Schrödinger equation
Concentration–Compactnessprinciple
description We consider the nonlinear Schrödinger equation −△u+V(x)u=f(u)inℝN. We assume that V is invariant under an orthogonal involution and show the existence of a particular type of sign changing solution. The basic tool employed here is the Concentration–Compactness Principle.
publishDate 2010
dc.date.issued.fl_str_mv 2010-03-24
dc.date.accessioned.fl_str_mv 2018-08-29T11:12:26Z
dc.date.available.fl_str_mv 2018-08-29T11:12:26Z
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 http://dx.doi.org/10.1007/s00033-010-0070-7
http://www.locus.ufv.br/handle/123456789/21498
dc.identifier.issn.none.fl_str_mv 14209039
identifier_str_mv 14209039
url http://dx.doi.org/10.1007/s00033-010-0070-7
http://www.locus.ufv.br/handle/123456789/21498
dc.language.iso.fl_str_mv eng
language eng
dc.relation.ispartofseries.pt-BR.fl_str_mv v. 62, n. 1, p. 67– 86, fev. 2011
dc.rights.driver.fl_str_mv Springer Nature Switzerland AG.
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Springer Nature Switzerland AG.
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Zeitschrift für angewandte Mathematik und Physik
publisher.none.fl_str_mv Zeitschrift für angewandte Mathematik und Physik
dc.source.none.fl_str_mv reponame:LOCUS Repositório Institucional da UFV
instname:Universidade Federal de Viçosa (UFV)
instacron:UFV
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reponame_str LOCUS Repositório Institucional da UFV
collection LOCUS Repositório Institucional da UFV
bitstream.url.fl_str_mv https://locus.ufv.br//bitstream/123456789/21498/1/artigo.pdf
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