Regularity for nonlocal problems with non-standard growth
Analysis of PDEs
2021-11-18 v1
Abstract
We study robust regularity estimates for local minimizers of nonlocal functionals with non-standard growth of -type and for weak solutions to a related class of nonlocal equations. The main results of this paper are local boundedness and H\"older continuity of minimizers and weak solutions. Our approach is based on the study of corresponding De Giorgi classes.
Cite
@article{arxiv.2111.09182,
title = {Regularity for nonlocal problems with non-standard growth},
author = {Jamil Chaker and Minhyun Kim and Marvin Weidner},
journal= {arXiv preprint arXiv:2111.09182},
year = {2021}
}
Comments
30 pages