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.
Hartree-Fock type systems: Existence of ground states and asymptotic behavior
Siciliano, Gaetano
2022-01-01
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.File in questo prodotto:
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