Indefinite eigenvalue problems for \(p\)-Laplacian operators with potential terms on networks
type: Item
instance of: scholarly article
title: Indefinite eigenvalue problems for \(p\)-Laplacian operators with potential terms on networks
zbMATH Open document ID: 1474.58003
DOI: 10.1155/2014/539603
author: Jea-Hyun Park
author: Soon-Yeong Chung
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: We address some forward and inverse problems involving indefinite eigenvalues for discrete \(p\)-Laplacian operators with potential terms. These indefinite eigenvalues are the discrete analogues of \(p\)-Laplacians on Riemannian manifolds with potential terms. We first define and discuss some fundamental properties of the indefinite eigenvalue problems for discrete \(p\)-Laplacian operators with potential terms with respect to some given weight functions. We then discuss resonance problems, anti-minimum principles, and inverse conductivity problems for the discrete \(p\)-Laplacian operators with potential terms involving the smallest indefinite eigenvalues.
Mathematics Subject Classification ID: 58C40
Mathematics Subject Classification ID: 31C20
Mathematics Subject Classification ID: 35J92
Mathematics Subject Classification ID: 35P30
Mathematics Subject Classification ID: 35R30
zbMATH DE Number: 7022580
Wikidata QID: Q59039271
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/539603
OpenAlex ID: W2019667399
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description: scientific article; zbMATH DE number 7022580