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The N-membranes problem


Chipot, M; Vergara-Caffarelli, G (1985). The N-membranes problem. Applied Mathematics and Optimization, 13(3):231-249.

Abstract

We study the equilibrium position ofN elastic membranes attached to rigid supports and submitted to the action of forces. They are constrained because they cannot pass through each other. As in the case of the obstacle problem, the solution fails to beC 2 and thus fails to be classical, so we provide some new regularity results in different larger spaces using an iterative penalization technique.

Abstract

We study the equilibrium position ofN elastic membranes attached to rigid supports and submitted to the action of forces. They are constrained because they cannot pass through each other. As in the case of the obstacle problem, the solution fails to beC 2 and thus fails to be classical, so we provide some new regularity results in different larger spaces using an iterative penalization technique.

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14 citations in Web of Science®
10 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
Language:English
Date:1985
Deposited On:19 Oct 2009 13:27
Last Modified:05 Apr 2016 13:29
Publisher:Springer
ISSN:0095-4616
Publisher DOI:https://doi.org/10.1007/BF01442209
Related URLs:http://www.ams.org/mathscinet-getitem?mr=806627

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