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Discontinuity, Nonlinearity, and Complexity 13(4) (2024) 601--607 | DOI:10.5890/DNC.2024.12.002

Rafik Guefaifia$^{1,2}$, Sayyed Hashem Rasouli$^3$, Khaled Zennir$^{1}$

$^{1}$ Department of Mathematics, College of Science, Qassim University, Saudi Arabia

$^{2}$ Department of Mathematics and Computer Science, Faculty of Exact Sciences, University of Larbi Tebessi-tebessa 12002, Algeria

$^{3}$ Department of Mathematics, Faculty of Basic Sciences, Babol Noshirnani University of Technology, Babol, Iran

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Abstract

One of the most commonly used methods for elliptic models is the method of analysis of Sub/super solutions. A fractional powers of the Laplace operator is considered. By using sub-super solutions method, we show the existence of weak positive solution for class of elliptic systems in bounded domains. Our results are natural extensions from the previous recent papers.\vspace{2.3cm}

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