Title: Multidimensional boundary layers for a singularly perturbed Neumann problem
Abstract: We continue the study of [34], proving concentration phenomena for the equation − ε2 Δu + u = up in a smooth bounded domain Ω ⊆ $\mathbb{R}^n$ and with Neumann boundary conditions. The exponent p is greater than or equal to 1, and the parameter ε is converging to zero. For a suitable sequence εj → 0, we prove the existence of positive solutions uj concentrating at the whole boundary of Ω or at some of its components.
Publication Year: 2004
Publication Date: 2004-07-15
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 120
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