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

Gang Meng (), Ping Yan () and Meirong Zhang ()
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Gang Meng: Chinese Academy of Sciences
Ping Yan: Tsinghua University
Meirong Zhang: Tsinghua University

Journal of Optimization Theory and Applications, 2013, vol. 156, issue 2, No 7, 294-319

Abstract: 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.

Keywords: Eigenvalue; p-Laplacian; Minimization problem; Integrable potential; Critical equation (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s10957-012-0125-3

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