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

Authors :: de Araujo, Anderson L. A.
Faria, Luiz F. O.
Leite, Edir J. F.
Miyagaki, Olímpio H.
Source :: Journal of Analysis & Its Applications / Zeitschrift für Analysis & ihre Anwendungen; 2021, Vol. 40 Issue 1, p111-129, 19p, 1 Graph
Publication Year :: 2021
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. [ABSTRACT FROM AUTHOR]

Language :: English
ISSN :: 02322064
Volume :: 40
Issue :: 1
Database :: Complementary Index
Journal :: Journal of Analysis & Its Applications / Zeitschrift für Analysis & ihre Anwendungen
Publication Type :: Academic Journal
Accession number :: 148421306
Full Text :: https://doi.org/10.4171/ZAA/1675

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