The Vanishing of the Fundamental Gap of Convex Domains in Hn

Theodora Bourni, Julie Clutterbuck, Xuan Hien Nguyen, Alina Stancu, Guofang Wei, Valentina Mira Wheeler

Research output: Contribution to journalArticleResearchpeer-review

4 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)595–614
Number of pages20
JournalAnnales Henri Poincare
Volume23
DOIs
Publication statusPublished - 2022

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