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

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Published: 2025-10-20
DOI: https://doi.org/10.56947/gjom.v21i1.3531
Keywords:
Elliptic problem, weak solution, weighted Sobolev space

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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.

Article Details

Issue

Vol. 21 No. 1 (2025)

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Articles

How to Cite

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