Maximum and minimum first eigenvalues for a class of elliptic operators
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References
- A. D. Aleksandrov, Certain estimates for the Dirichlet problem, Soviet Math. Dokl. 1 (1961), 1151–1154. MR 0147776
- R. J. Duffin, Lower bounds for eigenvalues, Phys. Rev. (2) 71 (1947), 827–828. MR 20698
- M. H. Protter and H. F. Weinberger, On the spectrum of general second order operators, Bull. Amer. Math. Soc. 72 (1966), 251–255. MR 190527, DOI 10.1090/S0002-9904-1966-11485-4
- Carlo Pucci, Un problema variazionale per i coefficienti di equazioni differenziali di tipo ellittico, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (3) 16 (1962), 159–172 (Italian). MR 141871
- Carlo Pucci, Operatori ellittici estremanti, Ann. Mat. Pura Appl. (4) 72 (1966), 141–170 (Italian, with English summary). MR 208150, DOI 10.1007/BF02414332
Additional Information
- © Copyright 1966 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 17 (1966), 788-795
- MSC: Primary 35.80; Secondary 35.42
- DOI: https://doi.org/10.1090/S0002-9939-1966-0199576-1
- MathSciNet review: 0199576