The Ratio of Eigenvalues of the Dirichlet Eigenvalue Problem for Equations with One-Dimensional p-Laplacian

We establish an estimate for the ratio of eigenvalues of the Dirichlet eigenvalue problem for the equation with one-dimensional p-Laplacian involving a nonnegative unimodal (single-well) potential.

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Main Authors: Gabriella Bognár, Ondřej Došlý
Format: Article
Language:English
Published: Wiley 2010-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2010/123975
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author Gabriella Bognár
Ondřej Došlý
author_facet Gabriella Bognár
Ondřej Došlý
author_sort Gabriella Bognár
collection DOAJ
description We establish an estimate for the ratio of eigenvalues of the Dirichlet eigenvalue problem for the equation with one-dimensional p-Laplacian involving a nonnegative unimodal (single-well) potential.
format Article
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publishDate 2010-01-01
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spelling doaj-art-ecd3a78413a64765a92b4c409e64f1462025-08-20T02:22:06ZengWileyAbstract and Applied Analysis1085-33751687-04092010-01-01201010.1155/2010/123975123975The Ratio of Eigenvalues of the Dirichlet Eigenvalue Problem for Equations with One-Dimensional p-LaplacianGabriella Bognár0Ondřej Došlý1Department of Analysis, University of Miskolc, 3515 Miskolc-Egytemváros, HungaryDepartment of Mathematics and Statistics, Masaryk University, Kotlářská 2, 611 37 Brno, Czech RepublicWe establish an estimate for the ratio of eigenvalues of the Dirichlet eigenvalue problem for the equation with one-dimensional p-Laplacian involving a nonnegative unimodal (single-well) potential.http://dx.doi.org/10.1155/2010/123975
spellingShingle Gabriella Bognár
Ondřej Došlý
The Ratio of Eigenvalues of the Dirichlet Eigenvalue Problem for Equations with One-Dimensional p-Laplacian
Abstract and Applied Analysis
title The Ratio of Eigenvalues of the Dirichlet Eigenvalue Problem for Equations with One-Dimensional p-Laplacian
title_full The Ratio of Eigenvalues of the Dirichlet Eigenvalue Problem for Equations with One-Dimensional p-Laplacian
title_fullStr The Ratio of Eigenvalues of the Dirichlet Eigenvalue Problem for Equations with One-Dimensional p-Laplacian
title_full_unstemmed The Ratio of Eigenvalues of the Dirichlet Eigenvalue Problem for Equations with One-Dimensional p-Laplacian
title_short The Ratio of Eigenvalues of the Dirichlet Eigenvalue Problem for Equations with One-Dimensional p-Laplacian
title_sort ratio of eigenvalues of the dirichlet eigenvalue problem for equations with one dimensional p laplacian
url http://dx.doi.org/10.1155/2010/123975
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