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Constrained envelope for a general class of design problems

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  • 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.
    Mathematics Subject Classification: 49J45, 74P10.

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