Positive solutions for non-variational fractional elliptic systems with negative exponents
Analysis of PDEs
2019-03-22 v1
Abstract
In this paper, we study strongly coupled elliptic systems in non-variational form with negative exponents involving fractional Laplace operators. We investigate the existence, nonexistence, and uniqueness of the positive classical solution. The results obtained here are a natural extension of the results obtained by Ghergu (2010), for the fractional case.
Keywords
Cite
@article{arxiv.1903.08786,
title = {Positive solutions for non-variational fractional elliptic systems with negative exponents},
author = {Anderson L. A. de Araujo and Luiz F. O. Faria and Edir Junior F. Leite and Olímpio H. Miyagaki},
journal= {arXiv preprint arXiv:1903.08786},
year = {2019}
}