Extinction and positivity of the solutions for a \(p\)-Laplacian equation with absorption on graphs

DOI10.1155/2011/937079zbMath1228.65154DBLPjournals/jam/XinML11OpenAlexW2140114708WikidataQ58690576 ScholiaQ58690576MaRDI QIDQ642796

Dengming Liu, Qiao Xin, Chun-Lai Mu

Publication date: 27 October 2011

Published in: Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2011/937079

zbMATH Keywords

initial-boundary value problempositive solutionweighted graphsnumerical experimentdiscrete \(p\)-Laplacian equation with absorption

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Related Items (7)

A complete characterization of extinction versus positivity of solutions to a parabolic problem of \(p\)-Laplacian type in graphs ⋮ Extinction and asymptotic behavior of solutions for the \(\omega\)-heat equation on graphs with source and interior absorption ⋮ Existence of solutions for the evolution \(p(x)\)-Laplacian equation not in divergence form ⋮ Extinction and positivity for the evolution \(p\)-Laplacian equations with absorption on networks ⋮ A complete characterization of nonlinear absorption for the evolution \(p\)-Laplacian equations to have positive or extinctive solutions ⋮ Quenching of the solution to the discrete heat equation with logarithmic type sources on graphs ⋮ Blow-up for the ω-heat equation with Dirichlet boundary conditions and a reaction term on graphs

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