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Bulletin of the American Mathematical Society

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An application of the calculus of variations in the large to the equations of nonlinear elasticity


Author: Melvyn S. Berger
Journal: Bull. Amer. Math. Soc. 73 (1967), 520-525
DOI: https://doi.org/10.1090/S0002-9904-1967-11728-2
MathSciNet review: 0213092
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  • 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: https://doi.org/10.1090/S0002-9904-1967-11728-2

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