Optimization method for a nonlinear elliptic problem in weighted variable exponent Sobolev spaces

Lhoucine Hmidouch; Ahmed Jamea; Mohamed Laghdir

doi:10.56947/gjom.v21i1.3531

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Published: Oct 20, 2025

DOI: https://doi.org/10.56947/gjom.v21i1.3531

Keywords:

Elliptic problem, weak solution, weighted Sobolev space

Lhoucine Hmidouch

Innovation Laboratory, Technology Transfer and Entrepreneurship (ILTE), Department of Mathematics, University of Chouaib Doukkali, Morocco

Ahmed Jamea

Innovation Laboratory, Technology Transfer and Entrepreneurship (ILTE) Equipe STIE, CRMEF Casablanca Settat, Morocco

Mohamed Laghdir

Innovation Laboratory, Technology Transfer and Entrepreneurship (ILTE), Department of Mathematics, University of Chouaib Doukkali, Morocco

Abstract

In this paper, we prove some existence results of weak solutions for some nonlinear degenerate elliptic problem in weighted variable exponent Sobolev space with Dirichlet type boundary condition.

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Hmidouch, L., Jamea, A., & Laghdir, M. (2025). Optimization method for a nonlinear elliptic problem in weighted variable exponent Sobolev spaces. Gulf Journal of Mathematics, 21(1), 92-103. https://doi.org/10.56947/gjom.v21i1.3531

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Vol. 21 No. 1 (2025)

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