Geodesic
Contrast structures for a quasilinear Sobolev-type equation with unbalanced nonlinearity
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 54 (2014) no. 8, pp. 1270-1280 
A. A. Bykov; N. N. Nefedov; A. S. Sharlo. Contrast structures for a quasilinear Sobolev-type equation with unbalanced nonlinearity. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 54 (2014) no. 8, pp. 1270-1280. http://geodesic.mathdoc.fr/item/ZVMMF_2014_54_8_a3/
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     title = {Contrast structures for a quasilinear {Sobolev-type} equation with unbalanced nonlinearity},
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Voir la notice de l'article provenant de la source Math-Net.Ru

The existence of a solution to a generalized Kolmogorov–Petrovskii–Piskunov equation is proved and its asymptotic expansion of the internal transition layer type is constructed. The convergence of the asymptotics is proved by applying the asymptotic comparison principle developed for a new class of problems.

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