Extremal properties of the first eigenvalue of a class of elliptic eigenvalue problems
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Serie 4, Volume 14 (1987) no. 1, pp. 1-48.
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     author = {Egnell, Henrik},
     title = {Extremal properties of the first eigenvalue of a class of elliptic eigenvalue problems},
     journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
     pages = {1--48},
     publisher = {Scuola normale superiore},
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     number = {1},
     year = {1987},
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     zbl = {0649.35072},
     language = {en},
     url = {http://www.numdam.org/item/ASNSP_1987_4_14_1_1_0/}
}
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Egnell, Henrik. Extremal properties of the first eigenvalue of a class of elliptic eigenvalue problems. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Serie 4, Volume 14 (1987) no. 1, pp. 1-48. http://www.numdam.org/item/ASNSP_1987_4_14_1_1_0/

[AD] R.A. Adams, Sobolev Spaces. Academic Press 1975. | MR | Zbl

[AH] M.S. Ashbaugh, E.M. Harrellii, Maximal and Minimal Eigenvalues and their Associated Nonlinear Equations. Preprint.

[BL] H. Brezis, E. Lieb, A Relation Between Pointwise Convergence of Functions and Convergence of Functionals. Proc. Amer. Math. Soc., 3 (1983), pp. 486-490. | MR | Zbl

[BN] H. Brezis, L. Nirenberg, Positive Solutions of Nonlinear Elliptic Equations Involving Critical Sobolev Exponents. Comm. Pure Appl. Math., 4 (1983), pp. 437-477. | MR | Zbl

[ES] M. Essén, Optimization and Rearrangements of the Coefficients in the Differential Equation(s) y'' ± qy = 0, Math. Rep. Canad. Acad. Sci. VI (1), pp. 15-20, 1984. | MR | Zbl

- Optimization and Rearrangements of the Coefficients in the Operator d 2/dt2-p(t)2 on a Finite Interval, J. Math. Anal. Appl., 115 (1986), pp. 278-304. | MR | Zbl

- Optimization and α-disfocality for Ordinary Differential Equations, Canad. J. Math. 2 (1985), pp. 310-323. | Zbl

[GT] D. Gilbarg, N.S. Trudinger, Elliptic Partial Differential Equations of Second Order, Springer-Verlag, 1977. | MR | Zbl

[HA] E.M. Harrellii, Hamiltonian Operators with Maximal Eigenvalues, J. Math. Phys. 25 (1984), pp. 48-51. | MR | Zbl

[HL] G.H. Hardy, J.E. Littlewood, G. Pólya, Inequalities, Cambridge University Press, 1934. | JFM | Zbl

[KS] D. Kinderlehrer, G. Stampacchia, An Introduction to Variational Inequalities and their Applications, Academic Press, New York, 1980. | MR | Zbl

[MO] C.B. Morreyjr., Multiple Integrals in the Calculus of Variations, Springer-Verlag, 1966. | MR | Zbl

[NI] L. Nirenberg, Topics in Nonlinear Functional Analysis, Courant Institute of Mathematical Sciences, 1974. | MR | Zbl

[RA] A.G. Ramm, Questions 5 in Part 2, Notices Amer. Math. Soc., 29 (1982), pp. 328-329.

[ST] E.M. Stein, Singular Integrals and Differentiability Properties of Functions, Princeton University Press, 1970. | MR | Zbl

[TA] G. Talenti, Estimates for Eigenvalues of Sturm-Liouville Problems, General Inequalities 4 (Edited by W. Walter), pp. 341-350, Birkäuser, 1984. | MR | Zbl

[WE] J. Weidmann, Linear Operators in Hilbert Spaces, Springer-Verlag, 1980. | MR | Zbl

[HA] E.M. Harrellii, Erratum: Hamiltonian Operators with maximal eigenvalues, J. Math. Phys. 27 (1986), p. 419. | MR | Zbl