Abstract and Applied Analysis
Volume 2010 (2010), Article ID 123975, 12 pages
doi:10.1155/2010/123975
Research Article

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

Gabriella Bognár1 and Ondřej Došlý2

1Department of Analysis, University of Miskolc, 3515 Miskolc-Egytemváros, Hungary
2Department of Mathematics and Statistics, Masaryk University, Kotlářská 2, 611 37 Brno, Czech Republic

Received 4 November 2010; Accepted 23 December 2010

Academic Editor: Nikolaos Papageorgiou

Copyright © 2010 Gabriella Bognár and Ondřej Došlý. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

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.