Indefinite Eigenvalue Problems for -Laplacian Operators with Potential Terms on Networks

Jea-Hyun Park and Soon-Yeong Chung

Abstract and Applied Analysis, 2014, vol. 2014, 1-10

Abstract:

We address some forward and inverse problems involving indefinite eigenvalues for discrete -Laplacian operators with potential terms. These indefinite eigenvalues are the discrete analogues of -Laplacians on Riemannian manifolds with potential terms. We first define and discuss some fundamental properties of the indefinite eigenvalue problems for discrete -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 -Laplacian operators with potential terms involving the smallest indefinite eigenvalues.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:539603

DOI: 10.1155/2014/539603

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