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Asymptotic behavior of the solutions of monotone problems in flat cylinders

Article type: Research Article

Authors: Sili, A.

Affiliations: Département de Mathématiques, Université de Toulon et du Var, 83957 La Garde Cedex, France

Abstract: We consider a vectorial monotone problem posed on a cylinder {\varOmega}^\varepsilon=\omega\times (0,\varepsilon L) of \mathbb{R}^N and we study its limit behavior as \varepsilon goes to 0. We show that the limit solution solves an elliptic system posed on \omega. We give also a corrector result as well as an error estimate under some regularity hypotheses.

Journal: Asymptotic Analysis, vol. 19, no. 1, pp. 19-33, 1999

Received 26 June 1998
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Published: 1999
Price: EUR 27.50
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