The ratio of eigenvalues of the Dirichlet eigenvalue problem for equations with one-dimensional \(p\)-Laplacian

DOI10.1155/2010/123975zbMath1215.34034OpenAlexW2091058253WikidataQ58649728 ScholiaQ58649728MaRDI QIDQ624459

Ondřej Došlý, Gabriella Bognár

Publication date: 9 February 2011

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2010/123975

zbMATH Keywords

eigenvalueDirichlet boundary condition\(p\)-Laplacian

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) General theory of ordinary differential operators (47E05) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items

The dual eigenvalue problems for \(p\)-Laplacian ⋮ Optimal upper bounds for the eigenvalue ratios of one-dimensional $p$-Laplacian ⋮ Some remarks on a nonhomogeneous eigenvalue problem related to generalized trigonometric functions ⋮ Periodic solutions for some phi-Laplacian and reflection equations

Cites Work

• Eigenvalue ratios for Sturm--Liouville operators
• A sharp bound for the ratio of the first two eigenvalues of Dirichlet Laplacians and extensions
• Lower bounds for eigenvalues of the one-dimensional \(p\)-Laplacian
• On the fundamental eigenvalue ratio of the \(p\)-Laplacian
• A bound for ratios of eigenvalues of Schrödinger operators with single-well potentials
• Best Constant for the Ratio of the First Two Eigenvalues of One-Dimensional Schrodinger Operators with Positive Potentials
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