Harnack inequality for nonlocal problems with non-standard growth
Analysis of PDEs
2022-02-10 v1
Abstract
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.
Cite
@article{arxiv.2202.04571,
title = {Harnack inequality for nonlocal problems with non-standard growth},
author = {Jamil Chaker and Minhyun Kim and Marvin Weidner},
journal= {arXiv preprint arXiv:2202.04571},
year = {2022}
}
Comments
14 pages