Optimal design problems in rough inhomogeneous media. Existence theory

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dc.creatorTeixeira, Eduardo V.
dc.date2007-10-16
dc.date2008-03-19
dc.date.accessioned2026-07-07T09:27:15Z
dc.date.available2026-07-07T09:27:15Z
dc.descriptionThis paper settles the existence question for a rather general class of convex optimal design problems with a volume constraint. In low dimensions, we prove the existence of an optimal configuration for general convex minimization problems ruled by bounded measurable degenerate elliptic operators. Under a mild continuity assumption on the medium, the free boundary is proven to enjoy the appropriate weak geometry and we establish the existence of an optimal design for general convex optimal design problems with volume constraints for all dimensions.
dc.identifierhttps://arxiv.org/abs/0710.2936
dc.identifierhttp://arxiv.org/abs/0710.2936
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/157032
dc.subjectAnalysis of PDEs
dc.subject35R35
dc.titleOptimal design problems in rough inhomogeneous media. Existence theory
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