@article{8487fbf063a943ef80d7c0922667138d,
title = "Estimates of the gaps between consecutive eigenvalues of Laplacian",
abstract = "For the eigenvalue problem of the Dirichlet Laplacian on a bounded domain in Euclidean space Rn, we obtain estimates for the upper bounds of the gapsbetween consecutive eigenvalues which are the best possible in terms of the orders of the eigenvalues. Therefore, it is reasonable to conjecture that this type of estimate also holds for the eigenvalue problem on a Riemannian manifold. We give some particular examples.",
keywords = "Consecutive eigenvalues, Hyperbolic space, Laplacian, Riemannian manifold, Test function",
author = "Daguang Chen and Tao Zheng and Hongcang Yang",
note = "Publisher Copyright: {\textcopyright} 2016 Mathematical Sciences Publishers.",
year = "2016",
month = jun,
day = "1",
doi = "10.2140/pjm.2016.282.293",
language = "English",
volume = "282",
pages = "293--311",
journal = "Pacific Journal of Mathematics",
issn = "0030-8730",
publisher = "Mathematical Sciences Publishers",
number = "2",
}