Asymptotics of an optimal compliance-location problem

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dc.creatorButtazzo, G.
dc.creatorSantambrogio, F.
dc.creatorVarchon, N.
dc.date2005-03-21
dc.date2005-11-09
dc.date.accessioned2026-07-07T06:39:37Z
dc.date.available2026-07-07T06:39:37Z
dc.descriptionWe consider the problem of placing n small balls of given radius in a certain domain subject to a force f in order to minimize the compliance of the configuration. Then we let n tend to infinity and look at the asymptotics of the minimization problem, after properly scaling the functionals involved, and to the limit distribution of the centres of the balls. This problem is both linked to optimal location and shape optimization problems.
dc.description20 pages with 2 figures; final accepted version (minor changes, some extra details on the positivity assumption on $f$)
dc.identifierhttps://arxiv.org/abs/math/0503426
dc.identifierhttp://arxiv.org/abs/math/0503426
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/101147
dc.subjectClassical Analysis and ODEs
dc.subjectOptimization and Control
dc.subject49J45; 49Q10; 74P05
dc.titleAsymptotics of an optimal compliance-location problem
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