Optimal upper bounds for the eigenvalue ratios of one-dimensional 𝑝-Laplacian

Chen, Chao-Zhong; Law, C.; Lian, Wei-Cheng; Wang, Wei-Chuan

doi:10.1090/S0002-9939-2012-11365-6

Optimal upper bounds for the eigenvalue ratios of one-dimensional $p$-Laplacian
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by Chao-Zhong Chen, C. K. Law, Wei-Cheng Lian and Wei-Chuan Wang PDF

Proc. Amer. Math. Soc. 141 (2013), 883-893 Request permission

Abstract:

We give optimal upper bounds for the Dirichlet and Neumann eigenvalue ratios of the one-dimensional $p$-Laplacian with nonnegative potentials. In case the potential is single-well, the upper bound for the Dirichlet eigenvalue ratios can be further refined.

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