L. Chiter , Singular Perturbation Problems. A Study by A-Convergence, Research Journal of Applied Sciences, Volume 2,Issue 5, 2007, Pages 579-583, ISSN 1815-932x, rjasci.2007.579.583, (https://makhillpublications.co/view-article.php?doi=rjasci.2007.579.583) Abstract: This research is devoted to singular perturbation problems associated to a thin layer of thickness . We study asymptotically as 0 the elliptic problem -div (a u ) + b u = f, on with the condition u = 0 at the boundary . The convergence under consideration is -convergence with the strong topologie of L2 ( ). Keywords: Singular perturbation;asymptotic behaviour;variational problem