  Given a smooth bounded domain ${\O}\subseteq \R^2$, we consider the equation
$\D v = 2 v_x \wedge v_y$ in $\O$, where $v: {\O}\to \R^3$. We prescribe
Dirichlet boundary datum, and consider the case in which this datum converges
to zero. An asymptotic study of the corresponding Euler functional is
performed, analyzing multiple-bubbling phenomena. This allows us to settle a
particular case of a question raised by H. Brezis and J.M. Coron.
