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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
DOI: https://doi.org/10.1090/S0002-9904-1974-13452-X
MathSciNet review: 0338871
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References [Enhancements On Off] (What's this?)

  • 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
  • 6. 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
  • 7. 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
  • 8. 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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DOI: https://doi.org/10.1090/S0002-9904-1974-13452-X

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