A priori bounds and positive solutions for non-variational fractional elliptic systems
Analysis of PDEs
2016-01-26 v5
Abstract
In this paper we study strongly coupled elliptic systems in non-variational form involving fractional Laplace operators. We prove Liouville type theorems and, by mean of the blow-up method, we establish a priori bounds of positive solutions for subcritical and superlinear nonlinearities in a coupled sense. By using those latter, we then derive the existence of positive solutions through topological methods.
Keywords
Cite
@article{arxiv.1409.6060,
title = {A priori bounds and positive solutions for non-variational fractional elliptic systems},
author = {Edir Junior Ferreira Leite and Marcos Montenegro},
journal= {arXiv preprint arXiv:1409.6060},
year = {2016}
}