Geodesic
A singularly perturbed elliptic problem in the case of a multiple root of the degenerate equation
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 53 (2013) no. 8, pp. 1291-1301

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The solution of a singularly perturbed elliptic boundary value problem is constructed, and an asymptotic expansion of the boundary-layer solution in the case of a double root of the degenerate equation is justified. The multiplicity of the root leads to a qualitative change in the asymptotic representation of the solution as compared with the case of a simple root. 
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     author = {V. A. Beloshapko and V. F. Butuzov},
     title = {A singularly perturbed elliptic problem in the case of a multiple root of the degenerate equation},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1291--1301},
     publisher = {mathdoc},
     volume = {53},
     number = {8},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_8_a6/}
}
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V. A. Beloshapko; V. F. Butuzov. A singularly perturbed elliptic problem in the case of a multiple root of the degenerate equation. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 53 (2013) no. 8, pp. 1291-1301. http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_8_a6/