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On a variational problem for an elastic membrane supporting a heavy ball


Bemelmans, J; Chipot, M (1995). On a variational problem for an elastic membrane supporting a heavy ball. Calculus of Variations and Partial Differential Equations, 3(4):447-473.

Abstract

An elastic membrane or a soap film is investigated that is bounded by a planar curve and supports a heavy ball. The ball is allowed to move on the surface, and its position, together with the shape of the membrane will furnish a minimum to the potenial energy. This leads to an obstacle problem for Dirichlet's integral or the area functional where only the shape of the obstacle but not its position in space is given.

Abstract

An elastic membrane or a soap film is investigated that is bounded by a planar curve and supports a heavy ball. The ball is allowed to move on the surface, and its position, together with the shape of the membrane will furnish a minimum to the potenial energy. This leads to an obstacle problem for Dirichlet's integral or the area functional where only the shape of the obstacle but not its position in space is given.

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6 citations in Web of Science®
4 citations in Scopus®
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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Uncontrolled Keywords:obstacle problem; free boundary problem; deformation energy; potential energy
Language:English
Date:1995
Deposited On:26 Aug 2010 07:10
Last Modified:05 Apr 2016 13:27
Publisher:Springer
ISSN:0944-2669
Publisher DOI:https://doi.org/10.1007/BF01187896
Related URLs:http://www.zentralblatt-math.org/zbmath/search/?q=an%3A0842.49013

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