Geodesic
On a boundary value problem in nonlinear theory of thin elastic plates
Applications of Mathematics, Tome 19 (1974) no. 1, pp. 7-16
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In this paper boundary value problems for the system of nonlinear partial differential equations for displacement, governing the equilibrium state of thin elastic plates, are solved. The abstract calculus of variarions is used.
In this paper boundary value problems for the system of nonlinear partial differential equations for displacement, governing the equilibrium state of thin elastic plates, are solved. The abstract calculus of variarions is used.
DOI : 10.21136/AM.1974.103509
Classification : 35J65, 35Q99, 49J20, 74B20, 74K20, 74S30 
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Nečas, Jindřich; Naumann, Joachim. On a boundary value problem in nonlinear theory of thin elastic plates. Applications of Mathematics, Tome 19 (1974) no. 1, pp. 7-16. doi: 10.21136/AM.1974.103509

[1] Knightly G. H.: An existence theorem for the von Kármán equations. Arch. Rat. Mech. Anal., 27 (1967), 233-242. | DOI | MR | Zbl

[2] Knightly G. H., Sather D.: On nonuniqueness of solutions of the von Kármán equations. Arch. Rat. Mech. Anal., 36 (1970), 65-78. | DOI | MR | Zbl

[3] Langenbach A.: Über Gleichungen mit Potentialoperatoren und Minimalfolgen nichtquadratischer Funktionale. Math. Nachr., 32 (1966), 9 - 24. | DOI | MR | Zbl

[4] Morozov N. F.: Nonlinear problems in the theory of thin plates. (Russian). Vestnik Leningr. Univ., 19 (1958), 100-124. | MR

[5] Nečas J.: Les méthodes directes en théorie des équations elliptiques. Academia, Prague 1967. | MR

[6] Nečas J., Poracká Z., and Kodnar R.: Remarks on a nonlinear theory of thin elastic plates. Matem. časopis, 20 (1970), 62-71. | MR

[7] Sharij Ju. I., Jurchenko A. S.: Dirichlet's problem for equations of Karman's type. Diff. urav., 4 (1968), 1713-1719. | MR

[8] Vorovich I. I.: On the existence of solutions in nonlinear theory of shells. (Russian). Izv. Akad. Nauk, ser. mat., 19, no. 4 (1955), 173-186. | MR

[9] Vorovich I. I.: On some direct methods in nonlinear theory of shallow shells. (Russian). Prikl. Mat. Mech., 20 (1956), 449-474. | MR

[10] Vorovich I. I.: On the existence of solutions in nonlinear theory of shells. (Russian). Dokl. Akad. Nauk, SSSR, 117 (1957), 203-206. | MR

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