In this paper, we are interested in a coupled Schrödinger system with Stein–Weiss type convolution part. Firstly we study the existence and nonexistence of the solutions by variational methods. Second, by changing the system into an equivalent integral form, we study the symmetry, regularity and asymptotic behaviors of the solutions by moving plane arguments.

中文翻译：

---

具有Stein-Weiss型卷积部分的Schrödinger耦合系统

在本文中，我们对带有Stein-Weiss型卷积部分的耦合Schrödinger系统感兴趣。首先，我们用变分方法研究了解的存在性和不存在性。其次，通过将系统改变为等效的积分形式，我们通过移动平面参数来研究解的对称性，正则性和渐近行为。