Geodesic
On~periodic contrast structures in singularly perturbed elliptic equations
Fundamentalʹnaâ i prikladnaâ matematika, Tome 5 (1999) no. 2, pp. 385-409

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The periodic solutions having internal layers in two-dimensional singularly perturbed elliptic equation with different powers of small parameter at higher derivatives are constructed. The existence of spike-type and step-type contrast structures is proved and asymptotics of the contrast structures are constructed. 
@article{FPM_1999_5_2_a2,
     author = {V. F. Butuzov and I. V. Nedelko},
     title = {On~periodic contrast structures in singularly perturbed elliptic equations},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {385--409},
     publisher = {mathdoc},
     volume = {5},
     number = {2},
     year = {1999},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_1999_5_2_a2/}
}
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V. F. Butuzov; I. V. Nedelko. On~periodic contrast structures in singularly perturbed elliptic equations. Fundamentalʹnaâ i prikladnaâ matematika, Tome 5 (1999) no. 2, pp. 385-409. http://geodesic.mathdoc.fr/item/FPM_1999_5_2_a2/