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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
MathSciNet review:
0213092
Full-text PDF
References |
Additional Information
- 1.
Shmuel
Agmon, The 𝐿_{𝑝} approach to the Dirichlet problem.
I. Regularity theorems, Ann. Scuola Norm. Sup. Pisa (3)
13 (1959), 405–448. MR 0125306
(23 #A2609)
- 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.
Melvyn
S. Berger and Paul
C. Fife, On von Karman’s equations and
the buckling of a thin elastic plate, Bull.
Amer. Math. Soc. 72
(1966), 1006–1011. MR 0203219
(34 #3072), http://dx.doi.org/10.1090/S0002-9904-1966-11620-8
- 5.
Melvyn
S. Berger, A Sturm-Liouville theorem for nonlinear elliptic partial
differential equations, Ann. Scuola Norm. Sup. Pisa (3)
20 (1966), 543–582. MR 0211299
(35 #2181)
- 6.
Felix
E. Browder, Lusternik-Schnirelman category and
nonlinear elliptic eigenvalue problems, Bull.
Amer. Math. Soc. 71
(1965), 644–648. MR 0178248
(31 #2506), http://dx.doi.org/10.1090/S0002-9904-1965-11378-7
- 7.
K.
O. Friedrichs, On the minimum buckling load for spherical
shells, Theodore von Kármán Anniversary Volume,
California Institute of Technology, Pasadena, Calif., 1941,
pp. 258–272. MR 0004599
(3,31b)
- 8.
Richard
S. Palais, Lusternik-Schnirelman theory on Banach manifolds,
Topology 5 (1966), 115–132. MR 0259955
(41 #4584)
- 9.
Edward
L. Reiss, Bifurcation buckling of spherical caps, Comm. Pure
Appl. Math. 18 (1965), 65–82. MR 0177561
(31 #1824)
- 10.
Jacob
T. Schwartz, Generalizing the Lusternik-Schnirelman theory of
critical points, Comm. Pure Appl. Math. 17 (1964),
307–315. MR 0166796
(29 #4069)
- 11.
I. Vorovich, Certain questions on the large deformation stability of shells, Soviet Physics Dokl. 3 (1958), 1032-1035.
- 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:
http://dx.doi.org/10.1090/S0002-9904-1967-11728-2
PII:
S 0002-9904(1967)11728-2
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