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Triple positive solutions for two-point boundary-value problems with one-dimensional p -Laplacian

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We consider the following boundary-value problems: . Using a generalization of Leggett–Williams fixed-point theorem due to Avery and Peterson, we provide sufficient conditions for the existence of at least three positive solutions to the above boundary-value problems.
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Keywords: 2000 Mathematics Subject Classifications: 34B10; 34B15; Boundary-value problems; One-dimensional p-Laplacian; Triple positive solutions

Document Type: Research Article

Affiliations: Communicated by R. P. Gilbert

Publication date: 2005-08-01

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