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Rabinowitz, P. H.

Some global results for nonlinear eigenvalue problems. (English) Zbl 0212.16504

J. Funct. Anal. 7, 487-513 (1971).
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Cited in 13 Reviews
Cited in 1026 Documents

MSC:

47-02 Research exposition (monographs, survey articles) pertaining to operator theory
46B99 Normed linear spaces and Banach spaces; Banach lattices
47J05 Equations involving nonlinear operators (general)
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\textit{P. H. Rabinowitz}, J. Funct. Anal. 7, 487--513 (1971; Zbl 0212.16504)
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References:

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[2] Leray, J.; Schauder, J., Topologie et équations fonctionelles, Ann. Sci. École Norm., 51, 45-78 (1934), Suppl. 3 · JFM 60.0322.02
[5] (Keller, J. B.; Antman, S., Bifurcation Theory and Nonlinear Eigenvalue Problems (1969), Benjamin: Benjamin New York) · Zbl 0181.00105
[6] Whyburn, G. T., Topological Analysis (1958), Princeton Univ. Press: Princeton Univ. Press Princeton, N. J, Chap. 1
[9] Gantmacher, F. R.; Krein, M. G., Oszillationsmatrizen, Oszillationkerne und kleine Schwingungen mechanischer Systeme (1960), Academie-Verlag: Academie-Verlag Berlin · Zbl 0088.25103
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[12] Ladyzhenskaya, O. A.; Uraltseva, N., Linear and Quasilinear Elliptic Equations (1968), Academic Press: Academic Press New York/London, Chap. 6 · Zbl 0164.13002
[13] Courant, R.; Hilbert, D., (Methods of Mathematical Physics, Vol. II (1962), Interscience: Interscience New York), Chap. 4
[14] Keller, H. B.; Cohen, D. S., Some positone problems suggested by nonlinear heat generation, J. Math. Mech., 16, 1361-1376 (1967) · Zbl 0152.10401
[15] Rabinowitz, P. H., Periodic solutions of nonlinear hyperbolic partial differential equations, Comm. Pure Appl. Math., 20, 145-205 (1967) · Zbl 0152.10003
[16] Nirenberg, L., On elliptic partial differential equations, Ann. Scuola, Norm. Super. Pisa Ser. 3, 13, 1-48 (1959)
[17] Bers, L.; John, F.; Schechter, M., Partial Differential Equations (1964), Interscience: Interscience New York, Chap. 4
[18] Moser, J., A rapidly convergent iteration method and nonlinear partial differential equations, Ann. Scuola, Norm. Super. Pisa Ser. 3, 20, 265-315 (1966) · Zbl 0144.18202
[19] Karlin, S., The existence of eigenvalues for integral operators, Trans. Amer. Math. Soc., 113, 1-17 (1964) · Zbl 0178.46804
[20] Parter, S. V., Nonlinear Eigenvalue Problems for Some Fourth-Order Equations: II. Fixed Point Methods, (Technical report #77 (Nov. 1969), Computer Sci. Dept., Univ. of Wisconsin), 1-46
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