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

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 pr...

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Main Authors:	Jea-Hyun Park, Soon-Yeong Chung
Format:	Article
Language:	English
Published:	Hindawi Limited 2014-01-01
Series:	Abstract and Applied Analysis
Online Access:	http://dx.doi.org/10.1155/2014/539603

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spelling	doaj-25c8e17b159d459288ee33d2c4bd14a52020-11-24T21:24:00ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/539603539603Indefinite Eigenvalue Problems for p-Laplacian Operators with Potential Terms on NetworksJea-Hyun Park0Soon-Yeong Chung1Department of Mathematics, Sogang University, Seoul 121-742, Republic of KoreaDepartment of Mathematics and Program of Integrated Biotechnology, Sogang University, Seoul 121-742, Republic of KoreaWe 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.http://dx.doi.org/10.1155/2014/539603
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Jea-Hyun Park Soon-Yeong Chung
spellingShingle	Jea-Hyun Park Soon-Yeong Chung Indefinite Eigenvalue Problems for p-Laplacian Operators with Potential Terms on Networks Abstract and Applied Analysis
author_facet	Jea-Hyun Park Soon-Yeong Chung
author_sort	Jea-Hyun Park
title	Indefinite Eigenvalue Problems for p-Laplacian Operators with Potential Terms on Networks
title_short	Indefinite Eigenvalue Problems for p-Laplacian Operators with Potential Terms on Networks
title_full	Indefinite Eigenvalue Problems for p-Laplacian Operators with Potential Terms on Networks
title_fullStr	Indefinite Eigenvalue Problems for p-Laplacian Operators with Potential Terms on Networks
title_full_unstemmed	Indefinite Eigenvalue Problems for p-Laplacian Operators with Potential Terms on Networks
title_sort	indefinite eigenvalue problems for p-laplacian operators with potential terms on networks
publisher	Hindawi Limited
series	Abstract and Applied Analysis
issn	1085-3375 1687-0409
publishDate	2014-01-01
description	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.
url	http://dx.doi.org/10.1155/2014/539603
work_keys_str_mv	AT jeahyunpark indefiniteeigenvalueproblemsforplaplacianoperatorswithpotentialtermsonnetworks AT soonyeongchung indefiniteeigenvalueproblemsforplaplacianoperatorswithpotentialtermsonnetworks
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Indefinite Eigenvalue Problems for p-Laplacian Operators with Potential Terms on Networks

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