Title:	Hartree-Fock type systems : existence of ground states and asymptotic behavior
Authors:	D’Avenia, Pietro Maia, Liliane de Almeida Siciliano, Gaetano
metadata.dc.contributor.email:	mailto:pietro.davenia@poliba.it mailto:lilimaia@unb.br mailto:sicilian@ime.usp.br
metadata.dc.identifier.orcid:	https://orcid.org/0000-0002-6163-1899
metadata.dc.contributor.affiliation:	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
Assunto::	Método Hartree-Fock Schrödinger, Equação de
Issue Date:	22-Jul-2022
Publisher:	Elsevier
Citation:	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.
Abstract:	In 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.
metadata.dc.description.unidade:	Instituto de Ciências Exatas (IE) Departamento de Matemática (IE MAT)
DOI:	https://doi.org/10.1016/j.jde.2022.07.012
metadata.dc.relation.publisherversion:	https://www.sciencedirect.com/science/article/pii/S0022039622004235?via%3Dihub
Agência financiadora:	UnB - Edital DPI/DPG n. 02/2022
Appears in Collections:	Artigos publicados em periódicos e afins

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