Regularity results of nonlinear perturbed stable-like operators
Analysis of PDEs
2020-04-16 v1
Abstract
We consider a class of fully nonlinear integro-differential operators where the nonlocal integral has two components: the non-degenerate one corresponds to the -stable operator and the second one (possibly degenerate) corresponds to a class of \textit{lower order} L\'evy measures. Such operators do not have a global scaling property. We establish H\"{o}lder regularity, Harnack inequality and boundary Harnack property of solutions of these operators.
Cite
@article{arxiv.2004.06996,
title = {Regularity results of nonlinear perturbed stable-like operators},
author = {Anup Biswas and Mitesh Modasiya},
journal= {arXiv preprint arXiv:2004.06996},
year = {2020}
}
Comments
20 pages