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Existence of solutions with interior transition layers touching the boundary
Authors:I. V. Nedel’ko
Affiliation:(1) M.V. Lomonosov Moscow State University, Russia
Abstract:For the case of Dirichlet boundary conditions, the existence of a solution with interior transition layer touching the boundary is proved.Translated from Matematicheskie Zametki, vol. 77, no. 1, 2005, pp. 80–92.Original Russian Text Copyright © 2005 by I. V. Nedelrsquoko.This revised version was published online in April 2005 with a corrected issue number.
Keywords:Dirichlet boundary condition  Laplace operator  interior transition layer  boundary condition of the second kind
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