The Dirichlet boundary value problems forp-Schrödinger operators on finite networks

DOI10.1080/10236190903376204zbMath1221.35425OpenAlexW2027522879MaRDI QIDQ3016328

Jea-Hyun Park, Soon-Yeong Chung

Publication date: 15 July 2011

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

Full work available at URL: https://doi.org/10.1080/10236190903376204

zbMATH Keywords

networkDirichlet boundary value problemdiscrete boundary value problemdiscrete \(p\)-Laplacian

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Discrete version of topics in analysis (39A12) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

Related Items (14)

A complete characterization of the discrete \(p\)-Laplacian parabolic equations with \(q\)-nonlocal reaction with respect to the blow-up property ⋮ A condition for blow-up solutions to discrete semilinear wave equations on networks ⋮ A complete characterization of extinction versus positivity of solutions to a parabolic problem of \(p\)-Laplacian type in graphs ⋮ A new condition for blow-up solutions to discrete semilinear heat equations on networks ⋮ A non-local quasi-linear ground state representation and criticality theory ⋮ On the critical set for Fujita type blow-up of solutions to the discrete Laplacian parabolic equations with nonlinear source on networks ⋮ Blow-up Phenomena for Solutions of Discrete Nonlinear p-Laplacian Parabolic Equations on Networks ⋮ The discrete \(p\)-Schrödinger equations under the mixed boundary conditions on networks ⋮ Blow-up solutions and global solutions to discrete \(p\)-Laplacian parabolic equations ⋮ Indefinite eigenvalue problems for \(p\)-Laplacian operators with potential terms on networks ⋮ Nonconstant periodic solutions of discrete \(p\)-Laplacian system via Clark duality and computations of the critical groups ⋮ Extinction and positivity for the evolution \(p\)-Laplacian equations with absorption on networks ⋮ Dichotomy of solutions to discrete \(p\)-Laplace equations and \(p\)-Laplace parabolic equations ⋮ Critical blow-up and global existence for discrete nonlinear \(p\)-Laplacian parabolic equations

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• $\omega$-Harmonic Functions and Inverse Conductivity Problems on Networks
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