Remote Access Bulletin of the American Mathematical Society

Bulletin of the American Mathematical Society

ISSN 1088-9485(online) ISSN 0273-0979(print)



Explicit relaxation of a variational problem in optimal design

Authors: Robert V. Kohn and Gilbert Strang
Journal: Bull. Amer. Math. Soc. 9 (1983), 211-214
MSC (1980): Primary 49A21, 73K40, 26B25
MathSciNet review: 707959
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  • 1. B. Dacorogna, Quasiconvexity and relaxation of nonconvex problems in the calculus of variations, J. Functional Analysis 46 (1982), no. 1, 102–118. MR 654467,
  • 2. Bernard Dacorogna, Weak continuity and weak lower semicontinuity of nonlinear functionals, Lecture Notes in Mathematics, vol. 922, Springer-Verlag, Berlin-New York, 1982. MR 658130
  • 3. Ivar Ekeland and Roger Temam, Convex analysis and variational problems, North-Holland Publishing Co., Amsterdam-Oxford; American Elsevier Publishing Co., Inc., New York, 1976. Translated from the French; Studies in Mathematics and its Applications, Vol. 1. MR 0463994
  • 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), no. 4, 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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