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Eigenvalue problems for nonlinear elliptic variational inequalities on a cone. (English) Zbl 0369.47039

MSC:
47J05 Equations involving nonlinear operators (general)
47F05 General theory of partial differential operators
35A15 Variational methods applied to PDEs
35J60 Nonlinear elliptic equations
35G20 Nonlinear higher-order PDEs
49R50 Variational methods for eigenvalues of operators (MSC2000)
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References:
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[2] Berger, M.S, Von Karman’s equations and the buckling of a thin elastic plate, I. the clamped plate, Commun. pure appl. math., 20, 687-719, (1967) · Zbl 0162.56405
[3] Berger, M.S; Fife, P.C, Von Karman’s equations and the buckling of a thin elastic plate, II. plate with general edge conditions, Commun. pure appl. math., 21, 227-241, (1968) · Zbl 0162.56501
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[7] {\scC. Do}, untitled preprint of Ref. 8.
[8] Do, C, Problèmes de valeurs propres pour une inéquation variationelle sur un cône et application au flambement unilatéral d’une plaque mince, C. R. acad. sci. Paris ser. A, 280, 45-48, (1975) · Zbl 0298.73077
[9] Do, C, The buckling of a thin elastic plate subjected to unilateral conditions, (), 307-316
[10] Duvaut, G; Lions, J.-L, Problèmes unilatéraux dans la théorie de la flexion FORTE des plaques (I) le cas stationnaire, J. Mécanique, 13, 51-74, (1974) · Zbl 0294.73060
[11] Krasnoselskii, M.A, Positive solutions of operator equations, (1964), Noordhoff Groningen
[12] Riddell, R.C, Nonlinear eigenvalue problems and spherical fibrations of Banach spaces, J. functional analysis, 18, 213-270, (1975) · Zbl 0313.35034
[13] Vainberg, M.M, Variational methods for the study of nonlinear operators, (1964), Holden-Day San Francisco · Zbl 0122.35501
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