# American Institute of Mathematical Sciences

2003, 2003(Special): 30-41. doi: 10.3934/proc.2003.2003.30

## Constrained envelope for a general class of design problems

 1 E.T.S. Ingenieros Industriales, Universidad de Castilla-La Mancha, 13071 Ciudad Real, Spain 2 E.T.S. Ingenieros Industriales, Universidad de Castilla La Mancha

Received  July 2002 Published  April 2003

We analyze the relaxation and computation of the relaxed density when we reformulate a typical optimal design problem with volume constraint in two dimension as a fully vector variational problem. Our aim is to examine a general cost functional depending explicitly on all variables and in particular in the gradient variable, and see how far computations and properties of the relaxed integrand can be pushed.
Citation: Ernesto Aranda, Pablo Pedregal. Constrained envelope for a general class of design problems. Conference Publications, 2003, 2003 (Special) : 30-41. doi: 10.3934/proc.2003.2003.30
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