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Bifurcation theory for elastic plates subjected to unilateral conditions. (English) Zbl 0364.73030


MSC:

74G60 Bifurcation and buckling
74K20 Plates
35R99 Miscellaneous topics in partial differential equations
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[1] Budiansky, B, Theory of buckling and post-buckling behavior of elastic structures, () · Zbl 0195.26703
[2] Do, Cl, Problèmes de valeurs propres d’inéquations variationnelles; application aux plaques minces, ()
[3] Do, Cl, Problèmes de valeurs propres pour une inéquation variationnelle sur un cône et application au flambement unilatéral d’une plaque mince, C. R. acad. sci. A, 280, 45-48, (1975) · Zbl 0298.73077
[4] Do, Cl, The buckling of a thin elastic plate subjected to unilateral conditions, () · Zbl 0337.73034
[5] {\scH. Beirao da Veiga}, Differentiability for Green’s operators of variational inequalities and applications to the calculus of bifurcation points, J. Functional Anal., to appear. · Zbl 0431.47039
[6] {\scJ. P. Dias and J. Hernandez}, Bifurcation à l’infini et alternative de Fredholm pour certains problèmes unilatéraux, J. Math. Pures Appl., to appear.
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[8] Berger, M.S, On von Karman’s equations and the buckling of thin elastic plate, I, the clamped plate, Comm. pure appl. math., 20, 687-719, (1967) · Zbl 0162.56405
[9] Berger, M.S, A bifurcation theory for nonlinear elliptic partial differential equations and related systems, () · Zbl 0181.11603
[10] Berger, M.S; Fife, P, On von Karman’s equations and the buckling of thin elastic plate, II, plate with general edge conditions, Comm. pure appl. math., 21, 227-241, (1968) · Zbl 0162.56501
[11] Landau, L; Lifchitz, E, ()
[12] Duvaut, G; Lions, J.L, LES inéquations en Mécanique et en physique, (1972), Dunod Paris · Zbl 0298.73001
[13] Duvaut, G; Lions, J.L, Problèmes unilatéraux dans la théorie de la flexion FORTE des plaques, J. Méca, 13, No. 1, 51-74, (1974) · Zbl 0294.73060
[14] Potier-Ferry, M; Potier-Ferry, M, Charges limites et théorème d’existence en théorie des plaques élastiques, C. R. acad. sci. A, C. R. acad. sci. A, 280, 1385-1387, (1975) · Zbl 0311.73028
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