含临界非局部项的Schrodinger-Poisson系统解的存在性

Existence of Solutions for Schrodinger-Poisson Systems Involving Critical Nonlocal Term

本文研究一类含临界非局部项和在无穷远处消失位势的Schrodinger-Poisson系统的非平凡解的存在性问题,利用变分方法获得了至少存在一个非平凡解的结果。

In this paper,we study the existence of non-trivial solutions for a class of Schrodinger-Poisson system with critical non-local terms and vanishing potential at infinity.By using the variational method,at least a nontrivial solution is obtained.