Abstract
It is shown that the second eigenvalue of the Laplacian with either Dirichlet or Neumann boundary conditions in an annulus in a Euclidean space, or in a sphere, or in a hyperbolic space of dimension $n>1$ has multiplicity $n$.
Citation
Liangpan Li. "On the second eigenvalue of the Laplacian in an annulus." Illinois J. Math. 51 (3) 913 - 925, Fall 2007. https://doi.org/10.1215/ijm/1258131110
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