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Article

Sabri, Abdelali ; Jamea, Ahmed ; Talibi Alaoui, Hamad
Weak solution for nonlinear degenerate elliptic problem with Dirichlet-type boundary condition in weighted Sobolev spaces. (English). Mathematica Bohemica, vol. 147 (2022), issue 1, pp. 113-129
MSC: 35A15, 35J60, 35J65, 74G30 | MR 4387471 | Zbl 07547244 | DOI: 10.21136/MB.2021.0004-20
Keywords:
degenerate elliptic problem; existence; uniqueness; weak solution; weighted Sobolev space
Summary:
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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