The Vanishing of the Fundamental Gap of Convex Domains in Hⁿ

Citation

• Bourni, T., Clutterbuck, J., Nguyen, X. H., Stancu, A., Wei, G., & Wheeler, V. M. (2022). The Vanishing of the Fundamental Gap of Convex Domains in Hⁿ. Annales Henri Poincare, 23(2), 595-614. doi:10.1007/s00023-021-01096-3

Digital Object Identifier (doi)

• 10.1007/s00023-021-01096-3

Scopus Eid

• 2-s2.0-85114823771

Web Of Science Accession Number

• WOS:000695384000001

Start Page

• 595

End Page

• 614

Volume

• 23

Issue

• 2

Place Of Publication

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.

UOW Authors

•   Wheeler, V.-M

Publication Date

• 2022

Publisher

• Springer Science and Business Media LLC 

Published In

• Annales Henri Poincare  Journal

Citation

• Bourni, T., Clutterbuck, J., Nguyen, X. H., Stancu, A., Wei, G., & Wheeler, V. M. (2022). The Vanishing of the Fundamental Gap of Convex Domains in Hⁿ. Annales Henri Poincare, 23(2), 595-614. doi:10.1007/s00023-021-01096-3

Digital Object Identifier (doi)

• 10.1007/s00023-021-01096-3

Scopus Eid

• 2-s2.0-85114823771

Web Of Science Accession Number

• WOS:000695384000001

Start Page

• 595

End Page

• 614

Volume

• 23

Issue

• 2

Place Of Publication