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arXiv · 2008.03191

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

P. d'Avenia·L. A. Maia·G. Siciliano
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Abstract

In this paper we consider an Hartree-Fock type system made by two Schr\"odinger equations in presence of a Coulomb interacting term and a cooperative pure power and subcritical nonlinearity, driven by a suitable parameter $\beta \geq 0$. 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.

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P. d'Avenia, L. A. Maia, G. Siciliano. 2020-08-07. Hartree-Fock type systems: existence of ground states and asymptotic behavior. https://arxiv.org/abs/2008.03191

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