Eigenvalues of the p-Laplacian and disconjugacy criteria

We derive oscillation and nonoscillation criteria for the one-dimensional p-Laplacian in terms of an eigenvalue inequality for a mixed problem. We generalize the results obtained in the linear case by Nehari and Willett, and the proof is based on a Picone-type identity.

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Detalles Bibliográficos
Autores principales: De Napoli, P.L., Pinasco, J.P.
Formato: Artículo publishedVersion
Lenguaje:Inglés
Publicado: 2006
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_10255834_v2006_n_p_DeNapoli
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Descripción
Sumario:We derive oscillation and nonoscillation criteria for the one-dimensional p-Laplacian in terms of an eigenvalue inequality for a mixed problem. We generalize the results obtained in the linear case by Nehari and Willett, and the proof is based on a Picone-type identity.