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Coffman, Charles V.

On the bifurcation theory of semilinear elliptic eigenvalue problems. (English) Zbl 0229.35067

Proc. Am. Math. Soc. 31, 170-176 (1972).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
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MSC:

35P30 Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs
35B32 Bifurcations in context of PDEs
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References:

[1] Charles V. Coffman, An existence theorem for a class of non-linear integral equations with applications to a non-linear elliptic boundary value problem, J. Math. Mech. 18 (1968/1969), 411 – 421. · Zbl 0177.38101
[2] Charles V. Coffman, On a class of non-linear elliptic boundary value problems, J. Math. Mech. 19 (1969/1970), 351 – 356. · Zbl 0194.42103
[3] Charles V. Coffman, Spectral theory of monotone Hammerstein operators, Pacific J. Math. 36 (1971), 303 – 322. · Zbl 0212.46803
[4] R. E. Edwards, Functional analysis. Theory and applications, Holt, Rinehart and Winston, New York-Toronto-London, 1965. · Zbl 0182.16101
[5] Bifurcation theory and nonlinear eigenvalue problems, Edited by Joseph B. Keller and Stuart Antman, W. A. Benjamin, Inc., New York-Amsterdam, 1969.
[6] M. A. Krasnosel’skii, Topological methods in the theory of nonlinear integral equations, Translated by A. H. Armstrong; translation edited by J. Burlak. A Pergamon Press Book, The Macmillan Co., New York, 1964.
[7] S. I. Pohožaev, On the eigenfunctions of the equation \Delta \?+\?\?(\?)=0, Dokl. Akad. Nauk SSSR 165 (1965), 36 – 39 (Russian).
[8] M. M. Vainberg, Variational methods for the study of nonlinear operators, Holden-Day, Inc., San Francisco, Calif.-London-Amsterdam, 1964. With a chapter on Newton’s method by L. V. Kantorovich and G. P. Akilov. Translated and supplemented by Amiel Feinstein.
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