JournalszaaVol. 40, No. 1pp. 111–129

Positive Solutions for Non-Variational Fractional Elliptic Systems with Negative Exponents

  • Anderson L.A. de Araujo

    Universidade Federal de Viçosa, Brazil

  • Luiz F.O. Faria

    Universidade Federal de Juiz de Fora, Brazil

  • Edir J.F. Leite

    Universidade Federal de Viçosa, Brazil

  • Olímpio H. Miyagaki

    Universidade Federal de São Carlos, Brazil
Positive Solutions for Non-Variational Fractional Elliptic Systems with Negative Exponents cover
Download PDF

A subscription is required to access this article.

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 [J. Funct. Anal. 258 (2010), 3295–3318] for the fractional case.

Cite this article

Anderson L.A. de Araujo, Luiz F.O. Faria, Edir J.F. Leite, Olímpio H. Miyagaki, Positive Solutions for Non-Variational Fractional Elliptic Systems with Negative Exponents. Z. Anal. Anwend. 40 (2021), no. 1, pp. 111–129

DOI 10.4171/ZAA/1675