Positive Solutions for Non-Variational Fractional Elliptic Systems with Negative Exponents
Anderson L.A. de Araujo
Universidade Federal de Viçosa, BrazilLuiz F.O. Faria
Universidade Federal de Juiz de Fora, BrazilEdir J.F. Leite
Universidade Federal de Viçosa, BrazilOlímpio H. Miyagaki
Universidade Federal de São Carlos, Brazil
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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