Geodesic
A steplike contrast structure in a singularly perturbed system of elliptic equations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 53 (2013) no. 9, pp. 1427-1447 Cet article a éte moissonné depuis la source Math-Net.Ru

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A singularly perturbed boundary value problem for a system of elliptic equations in a two-dimensional region is considered. The asymptotics and existence of a solution with an internal transition layer are studied. The asymptotics is justified by the method of differential inequalities. 
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V. F. Butuzov; N. T. Levashova; A. A. Mel'nikova. A steplike contrast structure in a singularly perturbed system of elliptic equations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 53 (2013) no. 9, pp. 1427-1447. http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_9_a1/

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