Abstract
We obtain optimal lower estimates for the eigenvalue ratios $(\frac{\lambda_{m}}{\lambda_{n}})$ of Dirichlet and Neumann Schrödinger operators with nonpositive potentials and Dirichlet vibrating string problems with concave and positive densities. Our results supplement those of Ashbaugh-Benguria [2] and M. J. Huang [5].
Citation
Chung-Chuan Chen. C. K. Law. F. Y. Sing. "OPTIMAL LOWER ESTIMATES FOR EIGENVALUE RATIOS OF SCHRÖDINGER OPERATORS AND VIBRATING STRINGS." Taiwanese J. Math. 9 (2) 175 - 185, 2005. https://doi.org/10.11650/twjm/1500407794
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