Multiple positive solutions of singular eigenvalue type problems involving the one-dimensional p-Laplacian |
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| Authors: | Justino Sá nchez |
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| Affiliation: | Departamento de Matemáticas y Ciencia de la Computación, Facultad de Ciencia, Universidad de Santiago de Chile, Casilla 307, Correo 2, Santiago, Chile |
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| Abstract: | We establish a existence result of multiple positive solutions for a singular eigenvalue type problem involving the one-dimensional p-Laplacian. Furthermore, we obtain a nonexistence result of positive solutions by taking advantage of the internal geometric properties related to the problem. Our approach is based on the fixed point index theory and the fixed point theorem in cones. |
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| Keywords: | One-dimensional p-Laplacian Singular problem Positive solution Multiplicity Fixed point index Fixed point theorem Cone Super- sublinearity |
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