Small perturbation solutions for nonlocal elliptic equations
Analysis of PDEs
2016-09-07 v1
Abstract
We present a small perturbation result for nonlocal elliptic equations, which says that for a class of nonlocal operators, the solutions are in for any as long as the solutions are small. This is a nonlocal generalization of a celebrated result of Savin in the case of second order equations.
Cite
@article{arxiv.1609.01375,
title = {Small perturbation solutions for nonlocal elliptic equations},
author = {Hui Yu},
journal= {arXiv preprint arXiv:1609.01375},
year = {2016}
}
Comments
15 pages. Submitted