Mathematica Bohemica, Vol. 147, No. 1, pp. 113-129, 2022
Weak solution for nonlinear degenerate elliptic problem with Dirichlet-type boundary condition in weighted Sobolev spaces
Abdelali Sabri, Ahmed Jamea, Hamad Talibi Alaoui
Received January 11, 2020. Published online April 16, 2021.
Abstract: In the present paper, we prove the existence and uniqueness of weak solution to a class of nonlinear degenerate elliptic $p$-Laplacian problem with Dirichlet-type boundary condition, the main tool used here is the variational method combined with the theory of weighted Sobolev spaces.
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Affiliations: Abdelali Sabri, Ahmed Jamea (corresponding author), Hamad Talibi Alaoui, Equipe de Mathématique Appliquée à la Physique et à l'Industrie (EMAPI), Faculté des Sciences, Université Chouaib Doukkali, El Jadida, 24000, Morocco, e-mail: abdelali.sabri21@gmail.com, a.jamea77@gmail.com, talibi_1@hotmail.fr
