Weak solution for nonlinear degenerate elliptic problem with Dirichlet-type boundary condition in weighted Sobolev spaces
Mathematica Bohemica, Tome 147 (2022) no. 1, pp. 113-129.

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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.
DOI : 10.21136/MB.2021.0004-20
Classification : 35A15, 35J60, 35J65, 74G30
Keywords: degenerate elliptic problem; existence; uniqueness; weak solution; weighted Sobolev space
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Sabri, Abdelali; Jamea, Ahmed; Talibi Alaoui, Hamad. Weak solution for nonlinear degenerate elliptic problem with Dirichlet-type boundary condition in weighted Sobolev spaces. Mathematica Bohemica, Tome 147 (2022) no. 1, pp. 113-129. doi : 10.21136/MB.2021.0004-20. http://geodesic.mathdoc.fr/articles/10.21136/MB.2021.0004-20/

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