Hartree-Fock type systems : existence of ground states and asymptotic behavior

Detalhes bibliográficos
Autor(a) principal: D’Avenia, Pietro
Data de Publicação: 2022
Outros Autores: Maia, Liliane de Almeida, Siciliano, Gaetano
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UnB
Texto Completo: http://repositorio2.unb.br/jspui/handle/10482/46628
https://doi.org/10.1016/j.jde.2022.07.012
https://orcid.org/0000-0002-6163-1899
Resumo: UnB - Edital DPI/DPG n. 02/2022
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spelling Hartree-Fock type systems : existence of ground states and asymptotic behaviorMétodo Hartree-FockSchrödinger, Equação deUnB - Edital DPI/DPG n. 02/2022In this paper we consider a Hartree-Fock type system made by two Schrödinger equations in presence of a Coulomb interacting term and a cooperative pure power and subcritical nonlinearity, driven by a suitable parameter . We show the existence of semitrivial and vectorial ground states solutions depending on the parameters involved. The asymptotic behavior with respect to the parameter β of these solutions is also studied.Instituto de Ciências Exatas (IE)Departamento de Matemática (IE MAT)Elseviermailto:pietro.davenia@poliba.itmailto:lilimaia@unb.brmailto:sicilian@ime.usp.brDipartimento di Meccanica, Matematica e Management, Politecnico di BariDepartamento de Matemática, Universidade de BrasíliaDepartamento de Matemática, Instituto de Matemática e Estatística, Universidade de São PauloD’Avenia, PietroMaia, Liliane de AlmeidaSiciliano, Gaetano2023-10-05T21:22:20Z2023-10-05T21:22:20Z2022-07-22info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleD'AVENIA, Pietro; MAIA, Liliane; SICILIANO, Gaetano. Hartree-Fock type systems: existence of ground states and asymptotic behavior. Journal of Differential Equations, v. 335, p. 580-614, out. 2022. DOI https://doi.org/10.1016/j.jde.2022.07.012. Disponível em: https://www.sciencedirect.com/science/article/pii/S0022039622004235?via%3Dihub. Acesso em: 05 out. 2023.http://repositorio2.unb.br/jspui/handle/10482/46628https://doi.org/10.1016/j.jde.2022.07.012https://orcid.org/0000-0002-6163-1899enghttps://www.sciencedirect.com/science/article/pii/S0022039622004235?via%3Dihubinfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da UnBinstname:Universidade de Brasília (UnB)instacron:UNB2023-10-05T21:22:27Zoai:repositorio.unb.br:10482/46628Repositório InstitucionalPUBhttps://repositorio.unb.br/oai/requestrepositorio@unb.bropendoar:2023-10-05T21:22:27Repositório Institucional da UnB - Universidade de Brasília (UnB)false
dc.title.none.fl_str_mv Hartree-Fock type systems : existence of ground states and asymptotic behavior
title Hartree-Fock type systems : existence of ground states and asymptotic behavior
spellingShingle Hartree-Fock type systems : existence of ground states and asymptotic behavior
D’Avenia, Pietro
Método Hartree-Fock
Schrödinger, Equação de
title_short Hartree-Fock type systems : existence of ground states and asymptotic behavior
title_full Hartree-Fock type systems : existence of ground states and asymptotic behavior
title_fullStr Hartree-Fock type systems : existence of ground states and asymptotic behavior
title_full_unstemmed Hartree-Fock type systems : existence of ground states and asymptotic behavior
title_sort Hartree-Fock type systems : existence of ground states and asymptotic behavior
author D’Avenia, Pietro
author_facet D’Avenia, Pietro
Maia, Liliane de Almeida
Siciliano, Gaetano
author_role author
author2 Maia, Liliane de Almeida
Siciliano, Gaetano
author2_role author
author
dc.contributor.none.fl_str_mv mailto:pietro.davenia@poliba.it
mailto:lilimaia@unb.br
mailto:sicilian@ime.usp.br
Dipartimento di Meccanica, Matematica e Management, Politecnico di Bari
Departamento de Matemática, Universidade de Brasília
Departamento de Matemática, Instituto de Matemática e Estatística, Universidade de São Paulo
dc.contributor.author.fl_str_mv D’Avenia, Pietro
Maia, Liliane de Almeida
Siciliano, Gaetano
dc.subject.por.fl_str_mv Método Hartree-Fock
Schrödinger, Equação de
topic Método Hartree-Fock
Schrödinger, Equação de
description UnB - Edital DPI/DPG n. 02/2022
publishDate 2022
dc.date.none.fl_str_mv 2022-07-22
2023-10-05T21:22:20Z
2023-10-05T21:22:20Z
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 D'AVENIA, Pietro; MAIA, Liliane; SICILIANO, Gaetano. Hartree-Fock type systems: existence of ground states and asymptotic behavior. Journal of Differential Equations, v. 335, p. 580-614, out. 2022. DOI https://doi.org/10.1016/j.jde.2022.07.012. Disponível em: https://www.sciencedirect.com/science/article/pii/S0022039622004235?via%3Dihub. Acesso em: 05 out. 2023.
http://repositorio2.unb.br/jspui/handle/10482/46628
https://doi.org/10.1016/j.jde.2022.07.012
https://orcid.org/0000-0002-6163-1899
identifier_str_mv D'AVENIA, Pietro; MAIA, Liliane; SICILIANO, Gaetano. Hartree-Fock type systems: existence of ground states and asymptotic behavior. Journal of Differential Equations, v. 335, p. 580-614, out. 2022. DOI https://doi.org/10.1016/j.jde.2022.07.012. Disponível em: https://www.sciencedirect.com/science/article/pii/S0022039622004235?via%3Dihub. Acesso em: 05 out. 2023.
url http://repositorio2.unb.br/jspui/handle/10482/46628
https://doi.org/10.1016/j.jde.2022.07.012
https://orcid.org/0000-0002-6163-1899
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv https://www.sciencedirect.com/science/article/pii/S0022039622004235?via%3Dihub
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:Repositório Institucional da UnB
instname:Universidade de Brasília (UnB)
instacron:UNB
instname_str Universidade de Brasília (UnB)
instacron_str UNB
institution UNB
reponame_str Repositório Institucional da UnB
collection Repositório Institucional da UnB
repository.name.fl_str_mv Repositório Institucional da UnB - Universidade de Brasília (UnB)
repository.mail.fl_str_mv repositorio@unb.br
_version_ 1814508304676683776

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