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

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

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Article ID: iaor20131961
Volume: 156
Issue: 2
Start Page Number: 294
End Page Number: 319
Publication Date: Feb 2013
Journal: Journal of Optimization Theory and Applications
Authors: , ,
Keywords: Laplace transforms, eigenvalues
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.

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