Sturm-Liouville properties for Atkinson's semi-definitep-Laplacian eigenvalue problems

DOI10.1002/MANA.201500105zbMath1362.34033OpenAlexW2511072204MaRDI QIDQ2959272

Chun-Kong Law, Wan-Zhen Wang, Wei-Chuan Wang

Publication date: 9 February 2017

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.201500105

zbMATH Keywords

\(p\)-Laplacian eigenvalue problemSturm oscillation theoremAtkinson's semi-definite problemgeneralized Prüfer substitution

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Boundary eigenvalue problems for ordinary differential equations (34B09)

Cites Work

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• A Tikhonov regularization for the inverse nodal problem for \(p\)-Laplacian
• Eigenvalues of the radial \(p\)-Laplacian with a potential on \((0,\infty)\)
• A Prüfer angle approach to semidefinite Sturm-Liouville problems with coupling boundary conditions
• Discrete and continuous boundary problems
• Basis properties of eigenfunctions of the 𝑝-Laplacian
• Sturm-Liouville problems for the p-Laplacian on a half-line
• The inverse nodal problem and the Ambarzumyan problem for the p-Laplacian
• Optimal upper bounds for the eigenvalue ratios of one-dimensional $p$-Laplacian
• Prüfer angle asymptotics for Atkinson's semi‐definite Sturm–Liouville eigenvalue problem
• Sturm-Liouville problems with finite spectrum

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