On a Class of Eigenvalue Elliptic Systems in Fractional Sobolev Spaces with Variable Exponents

Authors

  • Elhoussine Azroul Sidi Mohamed Ben Abdellah University image/svg+xml
  • Athmane Boumazourh Hassan II University
  • El-Yahyaoui Sidi Mohamed Ben Abdellah University image/svg+xml

DOI:

https://doi.org/10.12150/jnma.2025.1792

Abstract

In this work, we consider a class of eigenvalue elliptic systems involving the fractional $(p(x, .), q(x, .))$-Laplacian operators. Our main tools are based on Mountain Pass Theorem and Fountain Theorem.

Author Biographies

  • 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 Aïn Chock, Hassan II University, Km 8 Route d’El Jadida, P.O box5366, Maarif, 20100, Casablanca, Morocco

  • 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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Published

2025-09-15

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Issue

Vol. 7 No. 5 (2025)

Section

Articles

How to Cite

On a Class of Eigenvalue Elliptic Systems in Fractional Sobolev Spaces with Variable Exponents. (2025). Journal of Nonlinear Modeling and Analysis, 7(5), 1792-1810. https://doi.org/10.12150/jnma.2025.1792