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On Signorini problem for von Kármán equations. (English) Zbl 0387.35030

MSC:
35J60 Nonlinear elliptic equations
35A15 Variational methods applied to PDEs
35R20 Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions)
49J40 Variational inequalities
74K20 Plates
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References:
[1] Hlaváček I., Neumann J.: Inhomogeneous boundary value problems for the von Kármán equations, I. Aplikace matematiky 19 (1974), 253 - 269.
[2] John O., Nečas J.: On the solvability of von Kármán equations. Aplikace matematiky 20 (1975), 48-62. · Zbl 0309.35064
[3] Knightly G. H.: An existence theorem for the von Kármán equations. Arch. Rat. Mech. Anal., 27, 1967, 233-242. · Zbl 0162.56303
[4] Lions J. L.: Quelques méthodes de résolution des problémes aux limites non linéaires. Dunod, Paris 1969. Russian translation: Ж.-Л. Лионе. Некоторые методы решения нелинейных краевых зазач, Мир. Москва 1972. · Zbl 0189.40603
[5] Lions J. L., Duvaut G.: Les inéquations en mécanique et en physique. Dunod, Paris, 1972. · Zbl 0298.73001
[6] Lions J. L., Stampacchia Q.: Variational inequalities. Comm. Pure Appl. Math. XX, 1967, 687-719. · Zbl 0152.34601
[7] Naumann J.: On some unilateral boundary value problems for the von Kármán equations. Part 1 - the coercive case. Aplikace matematiky 20 (1975), 96- 125. · Zbl 0311.73029
[8] Nečas J.: Les méthodes directes en théorie des équations elliptiques. Academia, Prague 1967. · Zbl 1225.35003
[9] Potier-Ferry M.: Problémes semi-coercifs. Applications aux plaques de von Karman. J. Math, pures et appl., 53, 1974, 331-346. · Zbl 0275.49014
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