@Article{Sanhaji2023,
author = "Sanhaji, Ahmed and Dakkak, Ahmed and Moussaoui, Mimoun",
title = "The first eigencurve for a Neumann boundary problem involving p-Laplacian with essentially bounded weights",
journal = "Opuscula Math.",
year = "2023",
volume = "43",
number = "4",
pages = "559--574",
doi = "https://doi.org/10.7494/OpMath.2023.43.4.559",
url = "https://doi.org/10.7494/OpMath.2023.43.4.559",
abstract = "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.",
keywords = "\(p\)-Laplacian, first eigencurve, singular weight, Neumann boundary conditions",
issn = "1232-9274"
}