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Sturm–Liouville properties for Atkinson's semi‐definite p‐Laplacian eigenvalue problems
Abstract: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.
Keywords:p‐Laplacian eigenvalue problem  Atkinson's semi‐definite problem  generalized Prü  fer substitution  Sturm oscillation theorem  34B15  34B24
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