On shape optimization and the Pompeiu problem

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dc.creatorGrigelionis, Arunas
dc.date2000-12-11
dc.date.accessioned2026-07-07T04:39:09Z
dc.date.available2026-07-07T04:39:09Z
dc.descriptionThe Pompeiu problem is considered as shape optimization problem. We show stability of the ball which is the minimum point of related domain functional. The proof is based on shape derivative method. Stability of the ball for general domain functionals invariant under the rigid motions is discussed.
dc.description12 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/math/0012077
dc.identifierhttp://arxiv.org/abs/math/0012077
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60545
dc.subjectOptimization and Control
dc.subjectClassical Analysis and ODEs
dc.subject35R35; 49Q121
dc.titleOn shape optimization and the Pompeiu problem
dc.typetext

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