论文标题
Hartree-fock类型系统：基础状态和渐近行为的存在
Hartree-Fock type systems: existence of ground states and asymptotic behavior
论文作者
论文摘要
在本文中，我们考虑了在存在库仑相互作用项的存在下由两个schrödinger方程制成的哈特里库克类型系统，以及由合适的参数$β\ geq 0 $驱动的合作纯度和亚临界非线性。我们根据所涉及的参数显示了半主体和矢量基态解决方案的存在。还研究了相对于这些解决方案的参数$β$的渐近行为。
In this paper we consider an 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 $β\geq 0$. We show the existence of semitrivial and vectorial ground states solutions depending on the parameters involved. The asymptotic behavior with respect to the parameter $β$ of these solutions is also studied.
