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On the solvability of von Kármán equations. (English) Zbl 0309.35064

MSC:
35R20 Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions)
35Q99 Partial differential equations of mathematical physics and other areas of application
35G30 Boundary value problems for nonlinear higher-order PDEs
35D05 Existence of generalized solutions of PDE (MSC2000)
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References:
[1] Berger M. S.: On von Kármán’s equations and the buckling of a thin elastic plate I. Comm. Pure Appl. Math., XX, 1967, 687-719. · Zbl 0162.56405
[2] Hlaváček I., Naumann J.: Inhomogeneous boundary value problems for the von Kármán Equations, I. Aplikace matematiky 19 (1974), 253 - 269.
[3] Knightly G. H.: An existence theorem for the von Kármán equation. Arch. Rat. Mech. Anal., 27, 1967, 233-242. · Zbl 0162.56303
[4] Nečas J.: Les méthodes directes en théorie des équations elliptiques. Academia, Prague 1967. · Zbl 1225.35003
[5] Nečas J.: Fredholm theory of boundary value problems for nonlinear ordinary differential operators. Theory of Nonlinear Operators. Academia, Prague, 1973, 85-119.
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