On Poincaré’s bounds for higher eigenvalues
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- by William Stenger PDF
- Bull. Amer. Math. Soc. 72 (1966), 715-718
References
- H. Poincare, Sur les Equations aux Derivees Partielles de la Physique Mathematique, Amer. J. Math. 12 (1890), no. 3, 211–294 (French). MR 1505534, DOI 10.2307/2369620
- G. Pólya, Estimates for eigenvalues, Studies in mathematics and mechanics presented to Richard von Mises, Academic Press, Inc., New York, 1954, pp. 200–207. MR 0065777
- G. Pólya and M. Schiffer, Convexity of functionals by transplantation, J. Analyse Math. 3 (1954), 245–346. With an appendix by Heinz Helfenstein. MR 66530, DOI 10.1007/BF02803593
- Alexander Weinstein, The intermediate problems and the maximum-minimum theory of eigenvalues, J. Math. Mech. 12 (1963), 235–245. MR 0155083
- Alexander Weinstein, An invariant fomulation of the new maximum-minimum theory of eigenvalues, J. Math. Mech. 16 (1966), 213–218. MR 0212604, DOI 10.1512/iumj.1967.16.16015
Additional Information
- Journal: Bull. Amer. Math. Soc. 72 (1966), 715-718
- DOI: https://doi.org/10.1090/S0002-9904-1966-11566-5
- MathSciNet review: 0209892