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Knightly, G. H.; Sather, D.

On nonuniqueness of solutions of the von Kármán equations. (English) Zbl 0188.57603

Arch. Ration. Mech. Anal. 36, 65-78 (1970).
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Cited in 16 Documents

Keywords:

mechanics of solids
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\textit{G. H. Knightly} and \textit{D. Sather}, Arch. Ration. Mech. Anal. 36, 65--78 (1970; Zbl 0188.57603)
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References:

[1] Berger, M., On von Kármán’s equations and the buckling of a thin elastic plate, I, The clamped plate. Comm. Pure Appl. Math. 20, 687–719 (1967). · Zbl 0162.56405
[2] Berger, M., On nonlinear perturbations of the eigenvalues of a compact self adjoint operator. Bull. A.M.S. 73, 704–708 (1967). · Zbl 0162.45901
[3] Berger, M., & P. C. Fife, On von Kármán’s equations and the buckling of a thin elastic plate. Bull. A.M.S. 72, 1006–1011 (1966). · Zbl 0146.22103
[4] Berger, M., & P. C. Fife, von Kármán’s equations and the buckling of a thin elastic plate, II, Plate with general edge conditions. Comm. Pure Appl. Math. 21, 227–241 (1968). · Zbl 0162.56501
[5] Knightly, G. H., An existence theorem for the von Kármán equations. Arch. Rational Mech. Anal. 27, 233–242 (1967). · Zbl 0162.56303
[6] Krasnosel’skii, M. A., A. I. Perov, Et al. Plane Vector Fields. New York: Academic Press 1966.
[7] Sather, D., Branching of solutions of an equation in Hilbert space. Arch. Rational Mech. Anal., proceeding in this issue. · Zbl 0189.14902
[8] Trenogin, V. A., Perturbation of a linear equation by a small nonlinear term. Soviet Math. Dokl. 2, 1212–1215 (1961). · Zbl 0117.34701
[9] Vainberg, M. M., & V. A. Trenogin, The methods of Lyapunov and Schmidt in the theory of non-linear equations and their further development. Russian Math. Surveys 17, No. 2, 1–60 (1962). · Zbl 0117.31904
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