Citation
T. Hoffmann-ostenhof et al., Bounds on the multiplicity of eigenvalues for fixed membranes, GEO FUNCT A, 9(6), 1999, pp. 1169-1188
Citations number
12
Categorie Soggetti
Mathematics
Journal title
GEOMETRIC AND FUNCTIONAL ANALYSIS
ISSN journal
1016443X
→ ACNP
Volume
9
Issue
6
Year of publication
1999
Pages
1169 - 1188
Database
ISI
SICI code
1016-443X(1999)9:6<1169:BOTMOE>2.0.ZU;2-6
Abstract
For a membrane in the plane the multiplicity of the Ic-th eigenvalue is kno
wn to be not greater than 2k - 1. Here we prove that it is actually not gre
ater than 2k - 3, for k greater than or equal to 3.