Multiple positive solutions of the one-dimensional p-Laplacian |
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Authors: | Abdelkader Lakmeche Ahmed Hammoudi |
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Institution: | a Nonlinear Dynamics Group, Instituto Superior Técnico, Av. Rovisco Pais, 1049-001 Lisbon, Portugal b Département de Mathématiques, Université Djillali LIABES, BP 89, Sidi Bel Abbes, Algeria |
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Abstract: | In this work we investigate the existence of positive solutions of the p-Laplacian, using the quadrature method. We prove the existence of multiple solutions of the one-dimensional p-Laplacian for α?0, and determine their exact number for α=0. |
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Keywords: | p-Laplacian Positive solutions Positone problem Quadrature method |
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