论文标题
非局部问题与非标准生长的harnack不平等
Harnack inequality for nonlocal problems with non-standard growth
论文作者
论文摘要
我们证明了当地最小化者的完全不平等现象，以及针对非标准化增长的非本地问题的薄弱解决方案。主要的辅助结果是局部界限和相应的De Giorgi类功能的弱竖琴不等式。本文以同一作者对此类非本地问题的规律性估算的最新估计为基础。
We prove a full Harnack inequality for local minimizers, as well as weak solutions to nonlocal problems with non-standard growth. The main auxiliary results are local boundedness and a weak Harnack inequality for functions in a corresponding De Giorgi class. This paper builds upon a recent work on regularity estimates for such nonlocal problems by the same authors.
