, Volume 156, Issue 2, pp 294-319
Date: 28 Jul 2012

Minimization of Eigenvalues of One-Dimensional p-Laplacian with Integrable Potentials

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Abstract

In this paper, we will use the variational method and limiting approach to solve the minimization problems of the Dirichlet/Neumann eigenvalues of the one-dimensional p-Laplacian when the L 1 norm of integrable potentials is given. Combining with the results for the corresponding maximization problems, we have obtained the explicit results for these eigenvalues.

Communicated by Michael Hinze.