Dichotomy of solutions to discrete \(p\)-Laplace equations and \(p\)-Laplace parabolic equations

DOI10.1016/j.camwa.2018.01.021zbMath1415.35268OpenAlexW2790270102MaRDI QIDQ1999683

Soon-Yeong Chung

Publication date: 27 June 2019

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2018.01.021

zbMATH Keywords

parabolic equation\(p\)-Laplace operatordichotomydiscrete \(p\)-Laplacian

Mathematics Subject Classification ID

Quasilinear parabolic equations with (p)-Laplacian (35K92) Quasilinear elliptic equations with (p)-Laplacian (35J92) Comparison principles in context of PDEs (35B51) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

Cites Work

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• The problem of blow-up in nonlinear parabolic equations
• Indefinite eigenvalue problems for \(p\)-Laplacian operators with potential terms on networks
• The Dirichlet boundary value problems forp-Schrödinger operators on finite networks
• Numerical Blow-up for the p-Aplacian Equation with a Source
• p-Harmonic Functions in the Plane
• $\omega$-Harmonic Functions and Inverse Conductivity Problems on Networks

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