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

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Autor(es):
D'Avenia, Pietro ; Maia, Liliane ; Siciliano, Gaetano
Número total de Autores: 3
Tipo de documento: Artigo Científico
Fonte: Journal of Differential Equations; v. 335, p. 35-pg., 2022-07-22.
Resumo

In this paper we consider a Hartree-Fock type system made by two Schrodinger equations in presence of a Coulomb interacting term and a cooperative pure power and subcritical nonlinearity, driven by a suitable parameter beta >= 0. We show the existence of semitrivial and vectorial ground states solutions depending on the parameters involved. The asymptotic behavior with respect to the parameter beta of these solutions is also studied. (c) 2022 Elsevier Inc. All rights reserved. (AU)

Processo FAPESP: 19/27491-0 - Estudo de equações diferenciais parciais via métodos variacionais e topológicos
Beneficiário:Gaetano Siciliano
Modalidade de apoio: Bolsas no Exterior - Pesquisa