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Browsing by Subject "singular weight"

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    Item type:Article, Access status: Open Access ,
    The first eigencurve for a Neumann boundary problem involving p-Laplacian with essentially bounded weights
    (Wydawnictwa AGH, 2023) Sanhaji, Ahmed; Dakkak, Ahmed; Moussaoui, Mimoun
    This article is intended to prove the existence and uniqueness of the first eigencurve, for a homogeneous Neumann problem with singular weights associated with the equation $-\Delta_{p} u=\alpha m_{1}|u|^{p-2}u+\beta m_{2}|u|^{p-2}u$ in a bounded domain $\Omega \subset \mathbb{R}^{N}$. We then establish many properties of this eigencurve, particularly the continuity, variational characterization, asymptotic behavior, concavity and the differentiability.