On a planar Hartree-Fock type system involving the (2,q)-Laplacian in the zero mass case

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dc.creatorMelo Júnior, José Carlos de Albuquerque
dc.creatorCarvalho, Jonison Lucas dos Santos
dc.creatorSilva, Edcarlos Domingos da
dc.date.accessioned2025-12-30T15:16:18Z
dc.date.available2025-12-30T15:16:18Z
dc.date.issued2025
dc.description.abstractIn this work, we study a class of planar Hartree-Fock type system involving the Laplacian operator. Due to the nature of the problem, we deal with the logarithmic integral kernel. We introduce a suitable function space to study the system variationally. It is established existence of positive vector ground state solutions. In addition, we study the asymptotic behavior of the solutions and we also provide a nonexistence result. Our approach is based on Nehari method and Moser iteration scheme.
dc.identifier.citationALBUQUERQUE, J. C. de; CARVALHO, J. L.; SILVA, E. D. On a planar Hartree-Fock type system involving the (2,q)-Laplacian in the zero mass case. Nonlinear Differential Equations and Applications, Berlin, v. 32, e3, 2025. DOI: 10.1007/s00030-025-01033-x. Disponível em: https://link.springer.com/article/10.1007/s00030-025-01033-x. Acesso em: 9 dez. 2025.
dc.identifier.doi10.1007/s00030-025-01033-x
dc.identifier.issn1021-9722
dc.identifier.issne- 1420-9004
dc.identifier.urihttps://link.springer.com/article/10.1007/s00030-025-01033-x
dc.language.isoeng
dc.publisher.countryAlemanha
dc.publisher.departmentInstituto de Matemática e Estatística - IME (RMG)
dc.rightsAcesso Restrito
dc.titleOn a planar Hartree-Fock type system involving the (2,q)-Laplacian in the zero mass case
dc.typeArtigo

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