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

Chao-Zhong Chen, C. K. Law, Wei-Cheng Lian, Wei-Chuan Wang
2012 Proceedings of the American Mathematical Society  
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.
doi:10.1090/s0002-9939-2012-11365-6 fatcat:ig6btbwm3zfunire4lojqphhbe