We study the existence of entropy solutions by assuming the right-hand side function f to be an integrable function for some elliptic nonlocal p-Laplacian type problems. Moreover, the existence of weak solutions for the corresponding parabolic cases is also established. The main aim of this paper is to provide some positive answers for the two questions proposed by Chipot and de Oliveira (Math. Ann., 2019, 375, 283-306).

中文翻译：

---

关于非局部 p-拉普拉斯类型问题的一些进一步的结果

我们通过假设右手边函数来研究熵解的存在F是一些椭圆非局部的可积函数p- 拉普拉斯类型问题。此外，还建立了相应抛物线情况的弱解的存在性。本文的主要目的是为 Chipot 和 de Oliveira (Math. Ann., 2019,375, 283-306)。