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Explicit bounds of the first eigenvalue
Authors:CHEN Mufa
Institution:Department of Mathematics, Beijing Normal University, Beijing 100875, China
Abstract:It is proved that the general formulas, obtained recently for the lower bound of the first eigenvalue, can be further bounded by one or two constants depending on the coefficients of the corresponding operators only. Moreover, the ratio of the upper and lower bounds is no more than four.
Keywords:first eigenvdue  elliptic operator  Riemannian manifold  birth-death process
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