Fractional De Giorgi classes and applications to nonlocal regularity theory
Analysis of PDEs
2018-02-06 v1
Abstract
We present some recent results obtained by the author on the regularity of solutions to nonlocal variational problems. In particular, we review the notion of fractional De Giorgi class, explain its role in nonlocal regularity theory, and propose some open questions in the subject.
Cite
@article{arxiv.1802.01560,
title = {Fractional De Giorgi classes and applications to nonlocal regularity theory},
author = {Matteo Cozzi},
journal= {arXiv preprint arXiv:1802.01560},
year = {2018}
}
Comments
Short note based on a talk given by the author at a conference held in Bari on May 29-30, 2017, as part of the INdAM intensive period "Contemporary research in elliptic PDEs and related topics"