具有竞争哈特里型非线性的非线性薛定谔方程的归一化解

Pub Date : 2024-03-12 DOI:10.1002/mana.202200443
Divyang Bhimani, Tianxiang Gou, Hichem Hajaiej
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引用次数: 0

摘要

在本文中,我们考虑了以下具有竞争哈特里型非线性的非线性薛定谔方程在-规范约束下的解,其中 , , 和 作为拉格朗日乘数出现是未知的。首先,我们确定了质量亚临界、临界和超临界情况下基态的存在。然后,我们考虑相关时变方程的 Cauchy 问题解的好拟性和动力学行为。
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Normalized solutions to nonlinear Schrödinger equations with competing Hartree-type nonlinearities

In this paper, we consider solutions to the following nonlinear Schrödinger equation with competing Hartree-type nonlinearities,

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