In this paper we consider a Hartree-Fock type system made by two Schrödinger equations in presence of a Coulomb interacting term and a cooperative pure power and subcritical nonlinearity, driven by a suitable parameter β≥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 β of these solutions is also studied.
Hartree-Fock type systems: existence of ground states and asymptotic behavior / D'Avenia, Pietro; De Almeida Maia, Liliane; Siciliano, Gaetano. - In: JOURNAL OF DIFFERENTIAL EQUATIONS. - ISSN 0022-0396. - STAMPA. - 335:(2022), pp. 580-614. [10.1016/j.jde.2022.07.012]
Hartree-Fock type systems: existence of ground states and asymptotic behavior
Pietro d'Avenia
;
2022
Abstract
In this paper we consider a Hartree-Fock type system made by two Schrödinger equations in presence of a Coulomb interacting term and a cooperative pure power and subcritical nonlinearity, driven by a suitable parameter β≥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 β of these solutions is also studied.| File | Dimensione | Formato | |
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