We consider the Schrodinger-Poisson system with nonlinear term Q(x)|u|p−1u, where the value of $$\mathop {\lim}\limits_{\left| x \right| \to \infty} \,\,Q\left(x \right)$$Q(x) may not exist and Q may change sign. This means that the problem may have no limit problem. The existence of nonnegative ground state solutions is established. Our method relies upon the variational method and some analysis tricks.

中文翻译：

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具有非常规潜力的薛定谔-泊松系统的基态解

我们考虑具有非线性项 Q(x)|u|p−1u 的 Schrodinger-Poisson 系统，其中 $$\mathop {\lim}\limits_{\left| 的值 x \右| \to \infty} \,\,Q\left(x \right)$$Q(x) 可能不存在，Q 可能会改变符号。这意味着该问题可能没有极限问题。非负基态解的存在性成立。我们的方法依赖于变分方法和一些分析技巧。