Geodesic
Existence of solutions with interior transition layers touching the boundary
Matematičeskie zametki, Tome 77 (2005) no. 1, pp. 80-92.

Voir la notice de l'article provenant de la source Math-Net.Ru

For the case of Dirichlet boundary conditions, the existence of a solution with interior transition layer touching the boundary is proved. 
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I. V. Nedelko. Existence of solutions with interior transition layers touching the boundary. Matematičeskie zametki, Tome 77 (2005) no. 1, pp. 80-92. http://geodesic.mathdoc.fr/item/MZM_2005_77_1_a6/

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