Nonlinear discrete boundary value problems for the discrete \(p\)-Laplacian with potential term

DOI10.1016/j.na.2010.09.065zbMath1217.39011OpenAlexW2023009783MaRDI QIDQ622396

Jea-Hyun Park, Soon-Yeong Chung

Publication date: 31 January 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.2010.09.065

zbMATH Keywords

discrete boundary value problemnonlinear problemdiscrete \(p\)-Laplaciangraph Laplacian

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Discrete version of topics in analysis (39A12)

Related Items (1)

A complete characterization of extinction versus positivity of solutions to a parabolic problem of \(p\)-Laplacian type in graphs

Cites Work

• Unnamed Item
• Unnamed Item
• Three solutions to Dirichlet boundary value problems for \(p\)-Laplacian difference equations
• An existence principle for nonlocal difference boundary value problems with \(\varphi \)-Laplacian and its application to singular problems
• Center manifolds for difference equations-smooth parameter dependence
• Multiple solutions for a discrete boundary value problem involving the \(p\)-Laplacian
• Nonlinear difference equations investigated via critical point methods
• \(p\)-harmonic functions on graphs and manifolds
• On the existence of positive solutions of \(p\)-Laplacian difference equations.
• Multiple positive solutions of singular and nonsingular discrete problems via variational methods
• Homoclinic orbits and subharmonics for nonlinear second order difference equations
• Bounds for the largest \(p\)-Laplacian eigenvalue for graphs
• On the discrete version of Picone's identity
• Multiple positive solutions of singular discrete \(p\)-Laplacian problems via variational methods
• Difference Equations, Isoperimetric Inequality and Transience of Certain Random Walks

This page was built for publication: Nonlinear discrete boundary value problems for the discrete \(p\)-Laplacian with potential term