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Positive solutions for non-variational fractional elliptic systems with negative exponents - MaRDI portal

Positive solutions for non-variational fractional elliptic systems with negative exponents (Q2039391)

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Positive solutions for non-variational fractional elliptic systems with negative exponents
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    Positive solutions for non-variational fractional elliptic systems with negative exponents (English)
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    2 July 2021
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    Summary: 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 \textit{M. Ghergu} [J. Funct. Anal. 258, No. 10, 3295--3318 (2010; Zbl 1190.35073)] for the fractional case.
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    fractional Laplace operator
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    non-variational elliptic systems
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    negative exponents
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