Indefinite fractional elliptic problem and Liouville theorems
Analysis of PDEs
2014-04-08 v1
Abstract
In this paper, we consider the indefinite fractional elliptic problem. A corresponding Liouville-type theorem for the indefinite fractional elliptic equations is established. Furthermore, we obtain a priori bound for solutions in a bounded domain by blowing-up and re-scaling. We also classify the solutions of some degenerate elliptic equation originated from fractional Laplacian.
Cite
@article{arxiv.1404.1640,
title = {Indefinite fractional elliptic problem and Liouville theorems},
author = {Wenxiong Chen and Jiuyi Zhu},
journal= {arXiv preprint arXiv:1404.1640},
year = {2014}
}
Comments
23 pages