The present paper deals with a class of nonlocal problems. Under some suitable assumptions on the decay rate of the coefficients, we derive the existence of infinitely many positive solutions to the problem by applying reduction method. Comparing to the previous work, we encounter some new challenges because of competing potentials. By doing some delicate estimates for the competing potentials, we overcome the difficulties and find infinitely many positive solutions.

中文翻译：

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具有竞争潜力的非局部问题的许多正解

本文涉及一类非局部问题。在系数衰减率的一些适当假设下，我们通过应用约简方法得出了该问题的无穷多个正解的存在。与以前的工作相比，由于竞争潜力，我们遇到了一些新挑战。通过对竞争潜力进行一些精细的估算，我们克服了困难，并找到了许多积极的解决方案。