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A necessary and sufficient condition for lower semicontinuity
Author:
Lamberto Cesari
Journal:
Bull. Amer. Math. Soc. 80 (1974), 467-472
MSC (1970):
Primary 49A25, 49A50; Secondary 49A05
MathSciNet review:
0338871
Full-text PDF
References |
Similar Articles |
Additional Information
- 1.
Lamberto
Cesari, Existence theorems for multidimensional Lagrange
problems, J. Optimization Theory Appl. 1 (1967),
87–112. MR
0226463 (37 #2053)
- 2.
Lamberto
Cesari, Lower semicontinuity and lower closure theorems without
seminormality conditions, Ann. Mat. Pura Appl. (4) 98
(1974), 381–397. MR 0344966
(49 #9705)
- 3.
Lamberto
Cesari, Closure theorems for orientor
fields, Bull. Amer. Math. Soc. 79 (1973), 684–689. MR 0322647
(48 #1009), http://dx.doi.org/10.1090/S0002-9904-1973-13261-6
- 4.
Lamberto
Cesari, Closure theorems for orientor fields and weak
convergence, Arch. Rational Mech. Anal. 55 (1974),
332–356. MR 0350589
(50 #3081)
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L.
Cesari and M.
B. Suryanarayana, Closure theorems without seminormality
conditions, J. Optimization Theory Appl. 15 (1975),
441–465. Existence theory in the calculus of variations and optimal
control. MR
0365278 (51 #1531)
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R.
E. Edwards, Functional analysis. Theory and applications,
Holt, Rinehart and Winston, New York, 1965. MR 0221256
(36 #4308)
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A. Krasnosel’skii, Topological methods in the theory of
nonlinear integral equations, Translated by A. H. Armstrong;
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(28 #2414)
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Charles
B. Morrey Jr., Multiple integrals in the calculus of
variations, Die Grundlehren der mathematischen Wissenschaften, Band
130, Springer-Verlag New York, Inc., New York, 1966. MR 0202511
(34 #2380)
- 1.
- L. Cesari, Problems of optimization (to appear). MR 226463
- 2.
- L. Cesari, Lower semicontinuity and lower closure theorems without seminormality conditions, Ann. Mat. Pura Appl. 98 (1974), 381-397. MR 344966
- 3.
- L. Cesari, Closure theorems for orientor fields, Bull. Amer. Math. Soc. 79 (1973), 682-687. MR 322647
- 4.
- L. Cesari, Closure theorems for orientor fields and weak convergence, Arch. Rational Mech. Anal. (to appear). MR 350589
- 5.
- L. Cesari and M. B. Suryanarayana, Closure theorems without seminormality conditions, J. Optimization Theory Appl. (to appear). MR 365278
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- R. E. Edwards, Functional analysis. Theory and applications, Holt, Rinehart and Winston, New York, 1965, p. 271 (4.21.1). MR 36 #4308. MR 221256
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- M. A. Krasnosel'skiĭ, Topological methods in the theory of nonlinear integral equations, GITTL, Moscow, 1956; English transl., Macmillan, New York, 1964, pp. 20-32. MR 20 #3464; 28 #2414. MR 159197
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- C. B. Morrey, Multiple integrals in the calculus of variations, Die Grundlehren der Math. Wissenschaften, Band 130, Springer-Verlag, New York, 1966. MR 202511
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Additional Information
DOI:
http://dx.doi.org/10.1090/S0002-9904-1974-13452-X
PII:
S 0002-9904(1974)13452-X
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