@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
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.