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Multiple positive solutions of the one-dimensional p-Laplacian
Authors:Abdelkader Lakmeche  Ahmed Hammoudi
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
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.
Keywords:p-Laplacian  Positive solutions  Positone problem  Quadrature method
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