On a Class of Nonlinear Elliptic Problems Involving the $α(z)$-Biharmonic Operator with an $l(z)$-Hardy Term

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Abstract

By applying the Mountain Pass Theorem, we establish the existence of a weak solution for a class of nonlinear elliptic problem involving an $α(z)$-biharmonic operator and with an $l(z)$-hardy term in a bounded domain of $\mathbb{R}^N.$ Provided that certain additional assumptions are made regarding the nonlinearities, the corresponding functional will satisfy the Palais-Smale condition.

Author Biographies

  • Aicha Oubaha

    Applied Mathematics and Scientific Computing Laboratory, Faculty of Science and Technics, Sultan Moulay Slimane University, Beni Mellal, BP 523,23000, Morocco

  • Noureddine Moujane

    Applied Mathematics and Scientific Computing Laboratory, Faculty of Science and Technics, Sultan Moulay Slimane University, Beni Mellal, BP 523,23000, Morocco

  • Mohamed El Ouaarabi

    Applied Mathematics and Scientific Computing Laboratory, Faculty of Science and Technics, Sultan Moulay Slimane University, Beni Mellal, BP 523,23000, Morocco

    Mathematical Analysis, Algebra and Applications Laboratory, Faculty of Sciences Aäın Chock, Hassan II University, Casablanca, BP 5366, 20100, Morocco

  • Abderrahmane Raji

    Applied Mathematics and Scientific Computing Laboratory, Faculty of Science and Technics, Sultan Moulay Slimane University, Beni Mellal, BP 523,23000, Morocco

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DOI

10.12150/jnma.2025.1870

How to Cite

On a Class of Nonlinear Elliptic Problems Involving the $α(z)$-Biharmonic Operator with an $l(z)$-Hardy Term. (2025). Journal of Nonlinear Modeling and Analysis, 7(5), 1870-1885. https://doi.org/10.12150/jnma.2025.1870