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Minimization of Eigenvalues of One-Dimensional p-Laplacian with Integrable Potentials |
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| Authors: | Gang Meng Ping Yan Meirong Zhang |
| Affiliation: | 1. School of Mathematical Sciences, Graduate University, Chinese Academy of Sciences, Beijing, 100080, China 2. Department of Mathematical Sciences, Tsinghua University, Beijing, 100084, China 3. Zhou Pei-Yuan Center for Applied Mathematics, Tsinghua University, Beijing, 100084, China |
| 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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