The first eigencurve for a Neumann boundary problem involving p-Laplacian with essentially bounded weights
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Published:2023
Issue:4
Volume:43
Page:559-574
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ISSN:1232-9274
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Container-title:Opuscula Mathematica
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language:en
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Short-container-title:Opuscula Math.
Author:
Sanhaji Ahmed,Dakkak Ahmed,Moussaoui Mimoun
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.
Publisher
AGHU University of Science and Technology Press
Subject
General Mathematics