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On the asymptotic behavior of variational inequalities set in cylinders


Chipot, Michel C; Yeressian, Karen (2013). On the asymptotic behavior of variational inequalities set in cylinders. Discrete and Continuous Dynamical Systems - Series A, 33(11-12):4875-4890.

Abstract

We study the asymptotic behavior of solutions to variational inequalities with pointwise constraint on the value and gradient of the functions as the domain becomes unbounded. First, as a model problem, we consider the case when the constraint is only on the value of the functions. Then we consider the more general case of constraint also on the gradient. At the end we consider the case when there is no force term which corresponds to Saint-Venant principle for linear problems.

We study the asymptotic behavior of solutions to variational inequalities with pointwise constraint on the value and gradient of the functions as the domain becomes unbounded. First, as a model problem, we consider the case when the constraint is only on the value of the functions. Then we consider the more general case of constraint also on the gradient. At the end we consider the case when there is no force term which corresponds to Saint-Venant principle for linear problems.

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2 citations in Web of Science®
1 citation 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:May 2013
Deposited On:06 Dec 2013 11:51
Last Modified:05 Apr 2016 17:13
Publisher:American Institute of Mathematical Sciences
ISSN:1078-0947
Publisher DOI:https://doi.org/10.3934/dcds.2013.33.4875
Permanent URL: https://doi.org/10.5167/uzh-85927

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