International Journal of Nonlinear Analysis and Applications

Weak solution to a class of nonlinear degenerate weighted elliptic p(u)-Laplacian problem

Articles in Press

Document Type : Review articles

Authors

1 Laboratoire LITE, Faculté des Sciences, Université Chouaib Doukkali El Jadida, Morocco

2 CRMEF Casablanca-Settat, S.P. El Jadida,El Jadida, Morocco

Abstract

In this work, our objective is to prove the existence and uniqueness of weak solutions to a class of nonlinear degenerate weighted elliptic p(u)-Laplacian problem with Dirichlet-type and $L^{\infty}$ data. For this, we utilise some results from Sobolev spaces with weighted and variable exponents, as well as theorems such as the Minty-Browder theorem.

Keywords

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International Journal of Nonlinear Analysis and Applications

Articles in Press, Corrected Proof
Available Online from 18 August 2025
  • Receive Date: 04 March 2024
  • Revise Date: 22 March 2025
  • Accept Date: 24 March 2025