J. Nonl. Mod. Anal., 7 (2025), pp. 1332-1352.
Published online: 2025-07
[An open-access article; the PDF is free to any online user.]
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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.
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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.
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.