✦ LIBER ✦
Explicit computation of the relaxed density coming from a three-dimensional optimal design problem
✍ Scribed by José Carlos Bellido
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 160 KB
- Volume
- 52
- Category
- Article
- ISSN
- 0362-546X
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✦ Synopsis
We analyze the relaxation of a typical three-dimensional optimal design problem in conductivity, consisting of minimizing the square of the L 2 -norm of the underlying electric potential under a volume constraint, via a variational reformulation of the problem. Our main achievement is the explicit characterization of the "constrained quasiconvexiÿcation" of the cost density.