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

47-02Research monographs (operator theory)
46B99Normed linear spaces and Banach spaces
47J05Equations involving nonlinear operators (general)
Full Text: DOI
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[12] Ladyzhenskaya, O. A.; Uraltseva, N.: Linear and quasilinear elliptic equations. (1968) · Zbl 0164.13002
[13] Courant, R.; Hilbert, D.: Methods of mathematical physics. (1962) · Zbl 0099.29504
[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
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[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) · Zbl 0126.00207
[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
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[20] Parter, S. V.: Nonlinear eigenvalue problems for some fourth-order equations: II. Fixed point methods. Technical report #77, 1-46 (Nov. 1969)