Abstract
We show that for small ε > 0, the boundary blow-up problem −ε2∆u = u(u − a(x))(1 - u) in Ω, u|∂Ω = ∞ has solutions with sharp interior layers and spikes, apart from boundary layers. We also determine the location of these layers and spikes.
| Original language | English |
|---|---|
| Pages (from-to) | 271-298 |
| Journal | Discrete and Continuous Dynamical Systems. Series A |
| Volume | 19 |
| Issue number | 2 |
| Publication status | Published - 2007 |
Keywords
- Mathematical Sciences
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