The first eigencurve for a Neumann boundary problem involving p-Laplacian with essentially bounded weights

DOI10.7494/opmath.2023.43.4.559zbMath1522.35288OpenAlexW4380371733MaRDI QIDQ6137672

Ahmed Sanhaji, Ahmed Dakkak, M. Moussaoui

Publication date: 4 September 2023

Published in: Opuscula Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7494/opmath.2023.43.4.559

zbMATH Keywords

\(p\)-LaplacianNeumann conditionsexistence and uniqueness of the first eigencurve

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations with (p)-Laplacian (35J92) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Cites Work

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• Minimization of the principal eigenvalue for an elliptic boundary value problem with indefinite weight, and applications to population dynamics
• Minimization of eigenvalues for a quasilinear elliptic Neumann problem with indefinite weight
• Ljusternik-Schnirelmann theory on \(C^ 1\)-manifolds
• The principal eigencurve for the \(p\)-Laplacian
• Bifurcation from eigencurves of the \(p\)-Laplacian
• Eigencurves of non-definite Sturm-Liouville problems for the \(p\)-Laplacian
• Bifurcation Phenomena Associated to the p-Laplace Operator

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