On the second eigenvalue of the Laplacian in an annulus
Li, Liangpan
Illinois J. Math., Tome 51 (2007) no. 3, p. 913-925 / Harvested from Project Euclid
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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 $n$.
Publié le : 2007-07-15
Classification:  35J05,  35P05 
@article{1258131110,
     author = {Li, Liangpan},
     title = {On the second eigenvalue of the Laplacian in an annulus},
     journal = {Illinois J. Math.},
     volume = {51},
     number = {3},
     year = {2007},
     pages = { 913-925},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1258131110}
}

Li, Liangpan. On the second eigenvalue of the Laplacian in an annulus. Illinois J. Math., Tome 51 (2007) no. 3, pp.  913-925. http://gdmltest.u-ga.fr/item/1258131110/