The present paper deals with a class of Schrödinger-poisson system. Under some suitable assumptions on the decay rate of the coefficients, we derive the existence of infinitely many positive solutions to the problem by using purely variational methods. Comparing to the previous works, we encounter some new challenges because of nonlocal term. By doing some delicate estimates for the nonlocal term we overcome the difficulty and find infinitely many positive solutions.

中文翻译：

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具有非对称势的薛定谔-泊松系统的无穷多正解

本论文涉及一类薛定谔-泊松系统。在系数衰减率的一些适当假设下，我们通过使用纯变分方法推导出问题的无限多个正解的存在。与之前的作品相比，由于非本地术语，我们遇到了一些新的挑战。通过对非局部项进行一些精细的估计，我们克服了困难并找到了无限多个正解。