Comparison principles for thep-Laplacian on nonlinear networks

DOI10.1080/10236190902787633zbMath1218.05095OpenAlexW2035511725MaRDI QIDQ3163029

Jong-Ho Kim, Soon-Yeong Chung

Publication date: 22 October 2010

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236190902787633

zbMATH Keywords

networkmaximum principlecomparison principlediscrete \(p\)-Laplacian

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50)

Related Items (5)

The discrete \(p\)-Schrödinger equations under the mixed boundary conditions on networks ⋮ A complete characterization of Fujita's blow-up solutions for discrete \(p\)-Laplacian parabolic equations under the mixed boundary conditions on networks ⋮ A Cauchy-Euler type factorization of operators ⋮ Dirichlet \(p\)-Laplacian eigenvalues and Cheeger constants on symmetric graphs ⋮ A condition for blow-up solutions to discrete \(p\)-Laplacian parabolic equations under the mixed boundary conditions on networks

Cites Work

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• Maximum and comparison principles for operators involving the \(p\)-Laplacian
• \(p\)-harmonic functions on graphs and manifolds
• Nonlinear Elliptic Partial Difference Equations on Graphs
• A strong comparison principle for the $p$-Laplacian
• $\omega$-Harmonic Functions and Inverse Conductivity Problems on Networks

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