Article Contents
Article Contents

# Boundary blow-up solutions with interior layers and spikes in a bistable problem

• We show that for small $\epsilon>0$, the boundary blow-up problem

$-\epsilon^2\Delta u= u (u-a(x))(1-u) \mbox{ in } \Omega, u|_{\partial\Omega}=\infty$

has solutions with sharp interior layers and spikes, apart from boundary layers. We also determine the location of these layers and spikes.

Mathematics Subject Classification: 35J20, 35J60.

 Citation:

• on this site

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