Non-definite Sturm-Liouville problems for the p-Laplacian

DOI10.7153/oam-05-47zbMath1255.34029OpenAlexW2333492168MaRDI QIDQ2890633

Patrick J. Browne, Bruce Alastair Watson, Paul A. Binding

Publication date: 11 June 2012

Published in: Operators and Matrices (Search for Journal in Brave)

Full work available at URL: http://files.ele-math.com/abstracts/oam-05-47-abs.pdf

zbMATH Keywords

asymptotics of eigenvaluesPrüfer anglep-LaplacianSturm-Liouvilleeigenparameter dependent boundary conditionsoscillation countleft definite caseright definite case

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) General theory of ordinary differential operators (47E05) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Spaces with indefinite inner product (Kre?n spaces, Pontryagin spaces, etc.) (46C20)

Related Items (3)

Eigencurves of non-definite Sturm-Liouville problems for the \(p\)-Laplacian ⋮ Bounds of non-real eigenvalues for indefinite \(p\)-Laplacian problems ⋮ Non-real eigenvalues of one dimensional \(p\)-Laplacian with indefinite weight

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