On a resonance problem with the discrete \(p\)-Laplacian on finite graphs

DOI10.1016/J.NA.2011.06.046zbMath1234.05155OpenAlexW1991090174MaRDI QIDQ640195

Jea-Hyun Park

Publication date: 17 October 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2011.06.046

zbMATH Keywords

discrete boundary value problemsdiscrete \(p\)-Laplaciangraph Laplacian

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Discrete version of topics in analysis (39A12) Graph algorithms (graph-theoretic aspects) (05C85) Multiplicative and other generalized difference equations (39A20)

Related Items (3)

Existence and multiplicity results for boundary value problems connected with the discrete \(p(\cdot)\)-Laplacian on weighted finite graphs ⋮ Dirichlet \(p\)-Laplacian eigenvalues and Cheeger constants on symmetric graphs ⋮ Critical point theory to isotropic discrete boundary value problems on weighted finite graphs

Cites Work

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• Nonlinear difference equations investigated via critical point methods
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• Eigenvalues and discrete boundary value problems for the one-dimensional \(p\)-Laplacian
• Existence and multiplicity for a resonance problem for the \(p\)-Laplacian on bounded domains in \(\mathbb R^N\)
• A Generalized Upper and Lower Solution Method for Singular Discrete Boundary Value Problems for the One-Dimensional p-Laplacian

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