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 Pinasco1,2

 1Departamento de Matemática, Universidad de Buenos Aires, Pabellon 1, Ciudad Universitaria, Buenos Aires 1428, Argentina
2Instituto de Ciencias, Universidad Nacional de General Sarmiento, J.M. Gutierrez 1150, Los Polvorines, Buenos Aires 1613, Argentina
Received 14 April 2003

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.