Non-real eigenvalues of one dimensional \(p\)-Laplacian with indefinite weight

DOI10.1016/j.aml.2015.04.005zbMath1386.34138OpenAlexW2058651480MaRDI QIDQ494565

Shaozhu Chen, Bing Xie, Jian Gang Qi

Publication date: 1 September 2015

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2015.04.005

zbMATH Keywords

nonlinear eigenvalue problem\(p\)-Laplacianindefinite weighta priori boundnon-real eigenvalue

Mathematics Subject Classification ID

Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (3)

Research on singular Sturm-Liouville spectral problems with a weighted function ⋮ Bounds of non-real eigenvalues for indefinite \(p\)-Laplacian problems ⋮ The upper and lower bounds on non-real eigenvalues of indefinite Sturm-Liouville problems

Cites Work

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• A weighted eigenvalue problem for the \(p\)-Laplacian plus a potential
• Spectrum of one-dimensional \(p\)-Laplacian with an indefinite integrable weight
• Non-real eigenvalues of indefinite Sturm-Liouville problems
• A priori bounds and existence of non-real eigenvalues of indefinite Sturm-Liouville problems
• Eigencurves of non-definite Sturm-Liouville problems for the \(p\)-Laplacian
• Non-definite Sturm-Liouville problems for the p-Laplacian
• A survey of the regular weighted Sturm-Liouville problem - The non-definite case
• Indefinite Sturm–Liouville problems
• Estimates on the non-real eigenvalues of regular indefinite Sturm–Liouville problems

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