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Abstract
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Abstract and Applied Analysis
Volume 2004 (2004), Issue 2, Pages 147-153
doi:10.1155/S108533750431002X

Lower bounds for eigenvalues of the one-dimensional p-Laplacian

Juan Pablo Pinasco

Departamento de Matemática, Universidad de Buenos Aires, Pabellon 1, Ciudad Universitaria, Buenos Aires 1428, Argentina

Abstract

We present sharp lower bounds for eigenvalues of the one-dimensional p-Laplace operator. The method of proof is rather elementary, based on a suitable generalization of the Lyapunov inequality.