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Original Articles

Relaxation of a weakly discontinuous functional depending on one control function

Pages 79-85 | Received 15 Sep 2007, Published online: 14 Oct 2010

References

  • Cherkaev , A. 2000 . Variational Methods for Structure Optimization , New York : Springer‐Verlag .
  • Grabovsky , Y. 2001 . Optimal design problems for two‐phase conducting composites with weakly discontinuous objective functionals . Advances in Applied Mathematics , 27 (1) : 683 – 704 .
  • Lipton , R. 2001 . Optimal inequalities for gradients of solutions of elliptic equations occurring in two‐phase heat conductors . SIAM J. Math Anal , 32 (1) : 1081 – 1093 .
  • Pedregal , P. 2000 . Optimal design and constrained quasiconvexity . SIAM J. Math Anal , 32 (1) : 854 – 869 .
  • Raitums , U. 1989 . Optimal Control Problems for Elliptic Equations , Riga : Zinatne . (in Russian)

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