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2014 Indefinite Eigenvalue Problems for p-Laplacian Operators with Potential Terms on Networks
Jea-Hyun Park, Soon-Yeong Chung
Abstr. Appl. Anal. 2014: 1-10 (2014). DOI: 10.1155/2014/539603

Abstract

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.

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Jea-Hyun Park. Soon-Yeong Chung. "Indefinite Eigenvalue Problems for p-Laplacian Operators with Potential Terms on Networks." Abstr. Appl. Anal. 2014 1 - 10, 2014. https://doi.org/10.1155/2014/539603

Information

Published: 2014
First available in Project Euclid: 2 October 2014

zbMATH: 07022580
MathSciNet: MR3178873
Digital Object Identifier: 10.1155/2014/539603

Rights: Copyright © 2014 Hindawi

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