The Ratio of Eigenvalues of the Dirichlet Eigenvalue Problem for Equations with One-Dimensionalp-Laplacian-Reference-Cited by-同舟云学术

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

Published:2010 Issue: Volume:2010 Page:1-12
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Bognár Gabriella¹,Došlý Ondřej²

Affiliation:

1. Department of Analysis, University of Miskolc, 3515 Miskolc-Egytemváros, Hungary

2. Department of Mathematics and Statistics, Masaryk University, Kotlářská 2, 611 37 Brno, Czech Republic

Abstract

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

Funder

Ministry of Education of the Czech Republic

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2010/123975.pdf

Reference10 articles.

1. North Holland Mathematics Studies 202,2005

2. A bound for ratios of eigenvalues of Schrödinger operators with single-well potentials

3. Best Constant for the Ratio of the First Two Eigenvalues of One-Dimensional Schrodinger Operators with Positive Potentials

4. A Sharp Bound for the Ratio of the First Two Eigenvalues of Dirichlet Laplacians and Extensions

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