Geodesic
Asymptotics of the solution to a singularly perturbed elliptic problem with a three-zone boundary layer
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 56 (2016) no. 8, pp. 1428-1440

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For a singularly perturbed elliptic boundary value problem, an asymptotic expansion of the boundary-layer solution is constructed and justified in the case when the boundary layer consists of three zones with different behavior of the solution, which is caused by the multiplicity of the root of the degenerate equation. 
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     author = {V. A. Beloshapko and V. F. Butuzov},
     title = {Asymptotics of the solution to a singularly perturbed elliptic problem with a three-zone boundary layer},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
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     publisher = {mathdoc},
     volume = {56},
     number = {8},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_8_a5/}
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V. A. Beloshapko; V. F. Butuzov. Asymptotics of the solution to a singularly perturbed elliptic problem with a three-zone boundary layer. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 56 (2016) no. 8, pp. 1428-1440. http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_8_a5/