  We study the existence and the profile of sign-changing solutions to the
slightly subcritical problem $$ -\De u=|u|^{2^*-2-\eps}u \hbox{in} \cB,
  \quad u=0 \hbox{on}\partial \cB, $$ where $\cB$ is the unit ball in $\rr^N$,
$N\geq 3$, $2^*=\frac{2N}{N-2}$ and $\eps>0$ is a small parameter. Using a
Lyapunov-Schmidt reduction we discover two new non-radial solutions having 3
bubbles with different nodal structures. An interesting feature is that the
solutions are obtained as a local minimum and a local saddle point of a reduced
function, hence they do not have a global min-max description.
