标题： 非局部算子的超解和超调和函数与Orlicz增长 显示英文标题

标题： Supersolutions and superharmonic functions for nonlocal operators with Orlicz growth

摘要： 我们研究与涉及Orlicz增长的非局部算子相关的问题的超解和超调和函数，这些是发展非局部非线性位势理论的关键工具。 我们提供了超解和超调和函数的几个精细性质，并揭示了它们之间的关系。 在此过程中，我们证明了一些关于非局部障碍问题的结果，例如适定性和（内部和边界）正则性估计，这些结果具有独立的兴趣。 显示英文摘要

摘要： We study supersolutions and superharmonic functions related to problems involving nonlocal operators with Orlicz growth, which are crucial tools for the development of nonlocal nonlinear potential theory. We provide several fine properties of supersolutions and superharmonic functions, and reveal the relation between them. Along the way we prove some results for nonlocal obstacle problems such as the well-posedness and (both interior and boundary) regularity estimates, which are of independent interest.