The Vanishing of the Fundamental Gap of Convex Domains in Hn

Publication Name

Annales Henri Poincare


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.

Open Access Status

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Funding Number


Funding Sponsor

National Science Foundation



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