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Nonexistence of positive solutions to nonlinear nonlocal elliptic systems |
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| Authors: | Z Dahmani F Karami S Kerbal |
| Institution: | a Laboratoire de Mathématiques, Université de la Rochelle, Av. M. Crepeau, 17042 La Rochelle, France b LAMFA, UPJV CNRS UMR 6140, Université de Picardie Jules Verne 33, Rue Saint Leu 80039 Amiens, France c Department of Mathematics and Statistics, Sultan Qaboos University, PO Box 36, Al Khodh, PC 123, Muscat, Oman |
| Abstract: | In this paper we consider the question of nonexistence of nontrivial solutions for nonlinear elliptic systems involving fractional diffusion operators. Using a weak formulation approach and relying on a suitable choice of test functions, we derive sufficient conditions in terms of space dimension and systems parameters. Also, we present three main results associated to three different classes of systems. |
| Keywords: | Fractional diffusion operator Nonlinear elliptic systems |
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