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An application of the calculus of variations in the large to the equations of nonlinear elasticity
Author(s):
Melvyn S.
Berger
Journal:
Bull. Amer. Math. Soc.
73
(1967),
520-525.
MathSciNet review:
0213092
Retrieve article in:
PDF
References |
Additional information
References:
- 1.
- S. Agmon, The L, Ann. Scuola Norm. Sup. Pisa 13 (1959), 405-448. MR 125306
- 2.
- F. Bauer and E. Reiss, Nonlinear buckling of rectangular plates, J. Soc. Indust. Appl. Math. 13 (1965), 603-627.
- 3.
- F. Bauer and E. Reiss, Post-buckling behaviour of axially compressed cylindrical panels, (to appear).
- 4.
- M. Berger and P. Fife, On Von Karman's equations and the buckling of a thin elastic plate, Bull. Amer. Math Soc. 72 (1966), 1006-1011. MR 203219
- 5.
- M. Berger, A Sturm-Liouville theorem for nonlinear elliptic partial differential equations, Ann. Scuola Norm. Sup. Pisa 20 (1966), 543-582. MR 211299
- 6.
- F. Browder, Ljusternik-Schnirelmann category and nonlinear elliptic eigenvalue problems, Ann. of Math. 72 (1965), 459-477. MR 178248
- 7.
- K. Friedrichs, On the minimum buckling load for spherical shells, Von Kraman Anniversay Volume, 1941 pp. 258-272. MR 4599
- 8.
- R. Palais, Ljusternik-Schnirelmann theory on Banach manifolds, Topology 15 (1966), 115-132. MR 259955
- 9.
- E. Reiss, Bifurcation buckling of spherical caps, Comm. Pure Appl. Math. 18 (1965), 65-82. MR 177561
- 10.
- J. Schwartz, Generalizing the Ljusternik-Schnirelmann theory of critical points, Comm. Pure Appl. Math 17 (1964), 807-815. MR 166796
- 11.
- I. Vorovich, Certain questions on the large deformation stability of shells, Soviet Physics Dokl. 3 (1958), 1032-1035.
Additional Information:
DOI:
10.1090/S0002-9904-1967-11728-2
PII:
S 0002-9904(1967)11728-2
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