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Volumn 7, Issue 10, 2001, Pages 72-78

Fully explicit quasiconvexification of the mean-square deviation of the gradient of the state in optimal design

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EID: 85009809594     PISSN: None     EISSN: 10796762     Source Type: Journal    
DOI: 10.1090/S1079-6762-01-00096-8     Document Type: Article
Times cited : (23)

References (13)
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    • Bellido, J.C.1    Pedregal, P.2
  • 4
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    • Grabovsky, Y., Optimal design problems for two-phase conducting composites with weakly discontinuous objective functionals, 2001, to appear in Advan. Appl. Math.
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    • The relaxation of a double-well energy
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    • Kohn, R., The relaxation of a double-well energy, Cont. Mech. Thermodyn. 3 (1991), 193-236. MR 93d:73014
    • (1991) Cont. Mech. Thermodyn , vol.3 , pp. 193-236
    • Kohn, R.1
  • 6
    • 84990623154 scopus 로고
    • Optimal design and relaxation of variational problems, I, II and III
    • 139-182 and 353-377MR 87d:49019a; MR 87d:49019b; MR 87i:49023
    • Kohn, R. V. and Strang, G., Optimal design and relaxation of variational problems, I, II and III, CPAM 39 (1986), 113-137, 139-182 and 353-377. MR 87d:49019a; MR 87d:49019b; MR 87i:49023
    • (1986) CPAM , vol.39 , pp. 113-137
    • Kohn, R.V.1    Strang, G.2
  • 8
    • 0007009933 scopus 로고
    • Contre-exemples pour divers problèmes oú le contrôle intervient dans les coefficients
    • MR 55:11123
    • Murat, F., Contre-exemples pour divers problèmes oú le contrôle intervient dans les coefficients, Ann. Mat. Pura ed Appl., Serie 4 112 (1977), 49-68. MR 55:11123
    • (1977) Ann. Mat. Pura Ed Appl., Serie , vol.4 , Issue.112 , pp. 49-68
    • Murat, F.1
  • 10
    • 0034353706 scopus 로고    scopus 로고
    • Optimal design and constrained quasiconvexity
    • CMP 2001:08
    • Pedregal, P., Optimal design and constrained quasiconvexity, SIAM J. Math. Anal. 32 (2000), 854-869. CMP 2001:08
    • (2000) SIAM J. Math. Anal , vol.32 , pp. 854-869
    • Pedregal, P.1
  • 11
    • 0038831167 scopus 로고
    • Lower semicontinuity of variational integrals and compensated compactness
    • S. D. Chatterji, ed., Birkhäuser, MR 97h:49021
    • Šverák, V., Lower semicontinuity of variational integrals and compensated compactness, in S. D. Chatterji, ed., Proc. ICM, vol. 2, Birkhäuser, 1994, pp. 1153-1158. MR 97h:49021
    • (1994) Proc. ICM , vol.2 , pp. 1153-1158
    • Šverák, V.1
  • 12
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    • Remarks on optimal design problems
    • Homogenization and Continuum Mechanics, G. Buttazzo, G. Bouchitté and P. Suquet, eds., World Scientific, Singapore, MR 97g:49001
    • Tartar, L., Remarks on optimal design problems, in Calculus of Variations, Homogenization and Continuum Mechanics, G. Buttazzo, G. Bouchitté and P. Suquet, eds., World Scientific, Singapore, 1994, pp. 279-296. MR 97g:49001
    • (1994) Calculus of Variations , pp. 279-296
    • Tartar, L.1
  • 13
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    • 2000 An introduction to the homogenization method in optimal design
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    • Tartar, L., 2000 An introduction to the homogenization method in optimal design, Springer Lecture Notes in Math., vol. 1740, pp. 47-156. CMP 2001:07
    • Springer Lecture Notes in Math , vol.1740 , pp. 47-156
    • Tartar, L.1


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