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Sturm–Liouville properties for Atkinson's semi‐definite p ‐Laplacian eigenvalue problems
Author(s) -
Law C. K.,
Wang WanZhen,
Wang WeiChuan
Publication year - 2017
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201500105
Subject(s) - mathematics , eigenvalues and eigenvectors , laplace operator , p laplacian , sturm–liouville theory , oscillation (cell signaling) , positive definite matrix , pure mathematics , mathematical analysis , mathematical physics , boundary value problem , quantum mechanics , physics , chemistry , biochemistry
We define Atkinson's semi‐definite p ‐Laplacian eigenvalue problems, which include the regular p ‐Laplacian eigenvalue problems with L 1 coefficient functions. Then we show that the Sturm oscillation theorem also holds for this eigenvalue problem.