论文标题

非本地迪利奇问题的维纳(Wiener)标准

The Wiener criterion for nonlocal Dirichlet problems

论文作者

Kim, Minhyun, Lee, Ki-Ahm, Lee, Se-Chan

论文摘要

我们研究了具有可怜性$ s \ in(0,1)$和总结性$ p> 1 $的dirichlet问题解决方案的边界行为。我们建立了Wiener标准的非局部对应物,该标准以非本地非线性潜在理论为特征。

We study the boundary behavior of solutions to the Dirichlet problems for integro-differential operators with order of differentiability $s \in (0, 1)$ and summability $p>1$. We establish a nonlocal counterpart of the Wiener criterion, which characterizes a regular boundary point in terms of the nonlocal nonlinear potential theory.

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