The Minkowski problem for the torsional rigidity

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dc.creatorColesanti, A.
dc.creatorFimiani, M.
dc.date2008-09-26
dc.date.accessioned2026-07-07T10:05:43Z
dc.date.available2026-07-07T10:05:43Z
dc.descriptionWe prove the existence and uniqueness up to translations of the solution to a Minkowski type problem for the torsional rigidity in the class of open bounded convex subsets of the $n$-dimensional Euclidean space. For the existence part we apply the variational method introduced by Jerison for analogous problems concerning other variational functionals. Uniqueness follows from the Brunn--Minkowski inequality for the torsional rigidity and corresponding equality conditions.
dc.description23 pages
dc.identifierhttps://arxiv.org/abs/0809.4580
dc.identifierhttp://arxiv.org/abs/0809.4580
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/170090
dc.subjectAnalysis of PDEs
dc.subjectMetric Geometry
dc.subject35J05, 52A20, 52A40, 49N99.
dc.titleThe Minkowski problem for the torsional rigidity
dc.typetext

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