@article{23d2ac23b01a496fba9ac368ed8f114a,
title = "The Vanishing of the Fundamental Gap of Convex Domains in Hn",
abstract = "For the Laplace operator with Dirichlet boundary conditions on convex domains in Hn, n≥ 2 , we prove that the product of the fundamental gap with the square of the diameter can be arbitrarily small for domains of any diameter.",
author = "Theodora Bourni and Julie Clutterbuck and Nguyen, {Xuan Hien} and Alina Stancu and Guofang Wei and Wheeler, {Valentina Mira}",
note = "Funding Information: The research of Julie Clutterbuck was supported by Grant FT1301013 of the Australian Research Council. The research of Xuan Hien Nguyen was supported by Grant 579756 of the Simons Foundation. The research of Alina Stancu was supported by NSERC Discovery Grant RGPIN 327635. The research of Guofang Wei was supported by NSF Grant DMS 1811558. The research of Valentina-Mira Wheeler was supported by Grants DP180100431 and DE190100379 of the Australian Research Council. Publisher Copyright: {\textcopyright} 2021, Springer Nature Switzerland AG. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.",
year = "2022",
doi = "10.1007/s00023-021-01096-3",
language = "English",
volume = "23",
pages = "595–614",
journal = "Annales Henri Poincare",
issn = "1424-0637",
publisher = "Birkhauser",
}