Article Contents

2013, Volume 33, Issue 11&12: 4875-4890. Doi: 10.3934/dcds.2013.33.4875

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On the asymptotic behavior of variational inequalities set in cylinders

Michel Chipot^1, and
Karen Yeressian^2,

1.
Institute of Mathematics, University of Zürich, Winterthurerstrasse 190, CH-8057 Zürich
2.
Technische Universität Darmstadt, Department of Mathematics, Schlossgartenstr. 7, D-64289 Darmstadt

Received: September 2011

Revised: March 2012

Published: November 2013

Abstract / Introduction Related Papers Cited by

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.

Keywords:

Variational inequality,
asymptotic behavior.

Mathematics Subject Classification: Primary: 35B40; Secondary: 35J86, 35B09.

Citation:

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References

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