On a Coupled Schrodinger System with Stein-Weiss Type Convolution Part

In this paper, we are interested in a coupled Schrodinger 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.

Automated summary

This paper focuses on a coupled Schrodinger system with Stein-Weiss type convolution part. The existence and nonexistence of solutions are studied using variational methods, and the symmetry, regularity, and asymptotic behaviors of the solutions are examined by transforming the system into an equivalent integral form and using moving plane arguments.