Indefinite Eigenvalue Problems for p‐Laplacian Operators with Potential Terms on Networks

Jea-Hyun Park and Soon-Yeong Chung

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

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.

Date: 2014
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https://doi.org/10.1155/2014/539603

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:539603

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