This paper deals with a nonlocal diffusion elliptic eigenvalue problem. Specifically, the diffusion of the unknown variable at a point of the domain depends on its value in a neighborhood of the point. We apply bifurcation arguments and appropriate approximation to obtain our results. Some applications to the population dynamics will be given.

中文翻译：

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一个中间局部-非局部特征值椭圆问题

本文处理一个非局部扩散椭圆特征值问题。具体来说，未知变量在域中某个点的扩散取决于它在该点附近的值。我们应用分岔参数和适当的近似来获得我们的结果。将给出人口动态的一些应用。