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On Poincaré's bounds for higher eigenvalues
Author(s):
William
Stenger
Journal:
Bull. Amer. Math. Soc.
72
(1966),
715-718.
MathSciNet review:
0209892
Retrieve article in:
PDF
References |
Additional information
References:
- 1.
- H. Poincaré, Sur les équations aux dérivées partielles de la physique mathématique, Amer. J. Math. 12 (1890), 211-294. MR 1505534
- 2.
- G. Pólya, Estimates for eigenvalues, Studies in Mathematics and Mechanics, presented to Richard von Mises, Academic Press, New York, 1954, pp. 200-207. MR 65777
- 3.
- G. Pólya and M. Schiffer, Convexity of functionals by transplantation, J. Analyse Math. 3 (1954), 245-345. MR 66530
- 4.
- A. Weinstein, Intermediate problems and the maximum-minimum theory of eigenvalues, J. Math. Mech. 12 (1963), 235-246. MR 155083
- 5.
- A. Weinstein, An invariant formulation of the new maximum-minimum theory of eigenvalues, J. Math. Mech. (to appear); Notices Amer. Math. Soc. 13 (1966), 384. MR 212604
Additional Information:
DOI:
10.1090/S0002-9904-1966-11566-5
PII:
S 0002-9904(1966)11566-5
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