Title:	On a planar Hartree–Fock type system
Authors:	Carvalho, Jonison Lucas dos Santos Figueiredo, Giovany de Jesus Malcher Maia, Liliane de Almeida Medeiros, Everaldo Souto de
metadata.dc.contributor.email:	mailto:jonison.mat@gmail.com mailto:giovany@unb.br mailto:lilimaia@unb.br mailto:everaldo@mat.ufpb.br
metadata.dc.identifier.orcid:	https://orcid.org/0000-0002-6163-1899
metadata.dc.contributor.affiliation:	Departamento de Matemática, Universidade Federal da Paraíba Departamento de Matemática, Universidade de Brasília Departamento de Matemática, Universidade de Brasília Departamento de Matemática, Universidade Federal da Paraíba
Assunto::	Potencial de convolução logarítmica Método Hartree-Fock Variedade de Nehari
Issue Date:	22-Jun-2022
Publisher:	Springer Nature
Citation:	CARVALHO, J. et. al. On a planar Hartree–Fock type system. Nonlinear Differential Equations and Applications NoDEA, v. 29, n. 5, art. 56, set. 2022. DOI https://doi.org/10.1007/s00030-022-00788-x. Disponível em: https://link.springer.com/article/10.1007/s00030-022-00788-x. Acesso em: 05 out. 2023.
Abstract:	This work deals with the existence of solutions for a class of Hartree–Fock type system in the two dimensional Euclidean space. Our approach is variational and based on a minimization technique in the Nehari manifold. The main steps in the prove are some trick estimates from the sign-changing logarithm potential in an appropriate subspace of H1(R2) introduced by Stubbe [23] (see also Cingolani-Weth [8]).
metadata.dc.description.unidade:	Instituto de Ciências Exatas (IE) Departamento de Matemática (IE MAT)
DOI:	https://doi.org/10.1007/s00030-022-00788-x
metadata.dc.relation.publisherversion:	https://link.springer.com/article/10.1007/s00030-022-00788-x
Appears in Collections:	Artigos publicados em periódicos e afins

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