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The Vanishing of the Fundamental Gap of Convex Domains in Hn

Journal Article


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.

Publication Date


  • 2022

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

Scopus Eid


  • 2-s2.0-85114823771

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.

Publication Date


  • 2022

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

Scopus Eid


  • 2-s2.0-85114823771

Start Page


  • 595

End Page


  • 614

Volume


  • 23

Issue


  • 2

Place Of Publication