Published Paper
Inserted: 22 may 2012
Last Updated: 7 sep 2013
Journal: Netw. Herog. Media
Volume: 8
Number: 2
Pages: 573-589
Year: 2013
Abstract:
We consider the problem of the optimal location of a Dirichlet region in a $d$-dimensional domain subjected to a given force $f$ in order to minimize the $p$-compliance of the con guration. We look for the optimal region among the class of all closed connected sets of assigned length $l$: Then we let $l$ tends to in nity and we look at the $\Gamma$-limit of a suitable rescaled functional, in order to get information of the asymptotic distribution of the optimal region. We highlight as well the case where the Dirichlet region is searched among discrete sets of nite cardinality.
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