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| On a Class of Eigenvalue Elliptic Systems in Fractional Sobolev Spaces with Variable Exponents |
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| KeyWord:Elliptic systems, generalized fractional Sobolev spaces, variational methods, variational principle, fractional $p(x,.)$-Laplacian, mountain pass theorem, Fountain Theorem |
| Author Name | Affiliation | | Elhoussine Azroul | Modeling, Applied Mathematics and Intelligent Systems Laboratory, Faculty of Sciences Dhar El Mahraz, Sidi Mohamed Ben Abdellah University, FEZ, 1796, Atlas 30000 , Morocco | | Athmane Boumazourh | Mathematical Analysis, Algebra and Applications Laboratory, Faculty of Sciences A\"{\i}n Chock, Hassan II University, Km 8 Route d'El Jadida, P.O box 5366, Maarif, 20100, Casablanca, Morocco | | Houria El-Yahyaoui | Modeling, Applied Mathematics and Intelligent Systems Laboratory, Faculty of Sciences Dhar El Mahraz, Sidi Mohamed Ben Abdellah University, FEZ, 1796, Atlas 30000 , Morocco |
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| Abstract: |
| In this work, we consider a class of eigenvalue elliptic systems involving the fractional $\left(p(x,.),q(x,.)\right)$-Laplacian operators. Our main tools are based on Mountain Pass Theorem and Fountain Theorem. |
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