10/13/2006

Andrea Malchiodi
SISSA, Trieste

Concentration phenomena for singularly perturbed equations

We consider some classes of singularly perturbed elliptic  equations, arising from the study of the NLS or from reaction- diffusion systems. We characterize the asymptotic behavior of some  solutions in terms of stationarity properties of the limit sets.  Resonance phenomena occur in general, and the analysis presents  analogies to the study of collapsing CMC surfaces.