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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)
     

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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References | Similar articles | Additional information

References:

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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
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I. Ekeland and R. Temam, Convex analysis and variational problems, North-Holland, Amsterdam, 1976. MR 463994
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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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