Sturm–Liouville properties for Atkinson's semi‐definite p‐Laplacian eigenvalue problems

We define Atkinson's semi‐definite p‐Laplacian eigenvalue problems, which include the regular p‐Laplacian eigenvalue problems with L1 coefficient functions. Then we show that the Sturm oscillation theorem also holds for this eigenvalue problem.

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Bibliographic Details
Published in:Mathematische Nachrichten 2017-01, Vol.290 (1), p.66-74
Main Authors: Law, C. K., Wang, Wan‐Zhen, Wang, Wei‐Chuan
Format: Article
Language:English
Subjects:
34B15
34B24
Atkinson's semi‐definite problem
Eigenvalues
generalized Prüfer substitution
p‐Laplacian eigenvalue problem
Sturm oscillation theorem
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Description
Summary:We define Atkinson's semi‐definite p‐Laplacian eigenvalue problems, which include the regular p‐Laplacian eigenvalue problems with L1 coefficient functions. Then we show that the Sturm oscillation theorem also holds for this eigenvalue problem.
ISSN:0025-584X
1522-2616
DOI:10.1002/mana.201500105