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Explicit relaxation of a variational problem in optimal design
Author(s):
Robert V.
Kohn;
Gilbert
Strang
Journal:
Bull. Amer. Math. Soc.
9
(1983),
211-214.
MSC (1980):
Primary 49A21, 73K40, 26B25
MathSciNet review:
707959
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Additional information
References:
- 1.
- B. Dacorogna, Quasiconvexity and relaxation of nonconvex problems in the calculus of variations, J. Funct. Anal. 46 (1982), 102-118. MR 654467
- 2.
- B. Dacorogna, Weak continuity and weak lower semicontinuity of nonlinear functionals, Lecture Notes in Math., vol. 922, Springer-Verlag, Berlin and New York, 1982. MR 658130
- 3.
- I. Ekeland and R. Temam, Convex analysis and variational problems, North-Holland, Amsterdam, 1976. MR 463994
- 4.
- K. A. Lurie, A. V. Cherkaev and A. V. Fedorov, Regularization of optimal design problems for bars and plates. I, II, J. Optim. Theory Appl. 37 (1982), 499-522, 523-543. MR 669842
- 5.
- K. A. Lurie and A. V. Cherkaev, Exact estimates of conductivity of composites, Ioffe Physicotechnical Institute Report 783, Leningrad, 1982. See also Dokl. Akad. Nauk SSSR 264 (1982), 1128-1130. (Russian)
- 6.
- L. Tartar and F. Murat, private communication, 1981.
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Additional Information:
DOI:
10.1090/S0273-0979-1983-15158-3
PII:
S 0273-0979(1983)15158-3
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