On fractional elliptic equations in Lipschitz sets and epigraphs: regularity, monotonicity and rigidity results
Analysis of PDEs
2016-10-26 v3
Abstract
We consider a nonlocal equation set in an unbounded domain with the epigraph property. We prove symmetry, monotonicity and rigidity results. In particular, we deal with halfspaces, coercive epigraphs and epigraphs that are flat at infinity.
Keywords
Cite
@article{arxiv.1604.07755,
title = {On fractional elliptic equations in Lipschitz sets and epigraphs: regularity, monotonicity and rigidity results},
author = {Serena Dipierro and Nicola Soave and Enrico Valdinoci},
journal= {arXiv preprint arXiv:1604.07755},
year = {2016}
}
Comments
Final version, accepted for publication on Mathematische Annalen