Bounds for the positive eigenvalues of the \(p\)-Laplacian with decaying potential

DOI10.1016/j.jmaa.2006.01.058zbMath1111.34060OpenAlexW1973644087MaRDI QIDQ854091

B. Malcolm Brown, Michael S. P. Eastham

Publication date: 7 December 2006

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.01.058

zbMATH Keywords

\(p\)-Laplacianpositive eigenvaluesPrüfer transform

Mathematics Subject Classification ID

Nonlinear ordinary differential operators (34L30) Boundary value problems on infinite intervals for ordinary differential equations (34B40) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (2)

Weighted \(p\)-Laplacian problems on a half-line ⋮ Titchmarsh's asymptotic formula for periodic eigenvalues and an extension to the \(p\)-Laplacian

Cites Work

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• Some remarkable sine and cosine functions
• Sturm-Liouville type problems for the \(p\)-Laplacian under asymptotic non-resonance conditions
• Sturm-Liouville theory for the radial \(\Delta_p\)-operator
• Computing eigenvalues and Fučik-spectrum of the radially symmetric \(p\)-Laplacian
• Eigenvalues of the radial \(p\)-Laplacian with a potential on \((0,\infty)\)
• Bounds for the point spectrum for a Sturm-Liouville equation
• Eigenvalues of the Radially Symmetric p ‐Laplacian in R ⁿ
• A CONDITION FOR THE SPECTRUM IN EIGENFUNCTION THEORY TO CONTAIN [0, ∞)

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