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

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Author(s):
D'Avenia, Pietro ; Maia, Liliane ; Siciliano, Gaetano
Total Authors: 3
Document type: Journal article
Source: Journal of Differential Equations; v. 335, p. 35-pg., 2022-07-22.
Abstract

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)

FAPESP's process: 19/27491-0 - Study of partial differential equations via variational and topological methods
Grantee:Gaetano Siciliano
Support Opportunities: Scholarships abroad - Research