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
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.