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Eigenvalue pinching on convex domains in space forms
Auteur(s)
Date de parution
2009
In
Transactions of the American Mathematical Society
Vol.
1
No
361
De la page
1
A la page
18
Résumé
In this paper, we show that the convex domains of H-n which are almost extremal for the Faber-Krahn or the Payne-Polya-Weinberger inequalities are close to geodesic balls. Our proof is also valid in other space forms and allows us to recover known results in R-n and S-n.
Identifiants
Type de publication
journal article