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The dual eigenvalue problems for p-Laplacian |
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| Authors: | Yan-Hsiou Cheng Wei-Cheng Lian Wei-Chuan Wang |
| Institution: | 1. Department of Mathematics and Information Education, National Taipei University of Education, Taipei City, 106, Taiwan, R.O.C. 2. Department of Information Management, National Kaohsiung Marine Univeristy, Kaohsiung, 811, Taiwan, R.O.C. 3. General Education Center, National Quemoy University, Kinmen, 892, Taiwan, R.O.C. |
| Abstract: | We consider the eigenvalue gap/ratio of the p-Laplacian eigenvalue problems, and obtain the minimizer of the eigenvalue gap for the single-well potential function. For the dual result, we also obtain the minimizer of the eigenvalue ratio for the single-barrier density function for p-Laplacian. This extends the results of the classical problem for the case p=2. |
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