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On the solution of a generalized system of von Kármán equations. (English) Zbl 0478.73032

MSC:
74K20 Plates
35J60 Nonlinear elliptic equations
74B20 Nonlinear elasticity
35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation
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References:
[1] Ю.Р. Лепик: Равновесие гибких упруго-пластических пластинок при больших прогибах. Инжинерный сборник, том XX, 1956, 37-51. · Zbl 0995.90522
[2] Н. Ф. Ершов: Об упруго-пластическом изгибе пластинок при больших прогибах. Строительная механика и расчет сооружений. Н.-З, 1962. · Zbl 1005.68507
[3] O. John J. Nečas: On the solvability of von Kármán equations. Aplikace matematiky 20 (1975), 48-62, · Zbl 0309.35064
[4] I. Hlaváček J. Naumann: Inhomogeneous boundary value problems for the von Kármán equations, I. Aplikace matematiky 19 (1974), 253-269.
[5] J. Franců: On Signorini problem for von Kármán equations (The case of angular domain). Aplikace matematiky 24 (1979), 355 - 371. · Zbl 0479.73041
[6] G. H. Knightly: An existence theorem for the von Kármán equations. Arch. Rat. Mech. Anal., (1967), 233-242. · Zbl 0162.56303
[7] И. В. Скрыпник: Нелинейные еллщтгические уравнения высшего порядка. ,Наукова думка”, Киев 1973. · Zbl 1131.90321
[8] R. Kodnár: Non-linear problems of the orthogonal anisotropic shallow shells. Proceedings of summer school ”Theory of nonlinear operators”. Abhandlungen der Akademie der Wissenschaften der DDR. N-6, 1977.
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