Geodesic
Existence and Stability of Solutions with Boundary Layers in Multidimensional Singularly Perturbed Reaction-Diffusion-Advection Problems
Matematičeskie zametki, Tome 98 (2015) no. 6, pp. 853-864

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This paper deals with the boundary-value problem for a nonlinear elliptic equation containing a small parameter multiplying the derivatives and degenerating into a finite equation as the small parameter tends to zero. The existence theorem for the solution with a boundary layer and its Lyapunov stability are proved.
Keywords: singularly perturbed reaction-diffusion-advection problem, nonlinear elliptic equation with small parameter, Lyapunov stability, boundary layer, boundary layer expansion. 
M. A. Davydova. Existence and Stability of Solutions with Boundary Layers in Multidimensional Singularly Perturbed Reaction-Diffusion-Advection Problems. Matematičeskie zametki, Tome 98 (2015) no. 6, pp. 853-864. http://geodesic.mathdoc.fr/item/MZM_2015_98_6_a5/
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     title = {Existence and {Stability} of {Solutions} with {Boundary} {Layers} in {Multidimensional} {Singularly} {Perturbed} {Reaction-Diffusion-Advection} {Problems}},
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