@Article{JNMA-7-1332, author = {Fadil , Y.Ouaarabi , M. El and Oukessou , M.}, title = {Study of Certain Navier Problems in Sobolev Space with Weights}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2025}, volume = {7}, number = {4}, pages = {1332--1352}, abstract = {

In this paper, we study the following Navier problem

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Here, $h ∈ L^{p'} (\mathcal{Q}, v^{1−p′}_1),$ $\mathcal{K}, \mathcal{L}$ and $b$ are Carathéodory functions and $ϕ_1,ϕ_2,$ $v_1, v_2, v_3$ and $v_4$ are $A_p$-weights functions. By using the theory of monotone operators (Browder–Minty Theorem), we demonstrate the existence and uniqueness of weak solution to the above problem.

}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2025.1332}, url = {http://global-sci.org/intro/article_detail/jnma/24237.html} }