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We study the existence and the profile of sign‐changing solutions to the slightly subcritical problem−  Δ  u     =   |  u  |2  *  −  2  −  ε    u     i  n     ℬ  ,u     =     0     o  n     ∂  ℬ  ,where ℬ is the unit ball in ℝ  N  ,  N ⩾3, 2*=2 N /( N −2) and ε>0 is a small parameter. Using a Lyapunov–Schmidt reduction, we discover two new nonradial solutions having three  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.

On the profile of sign‐changing solutions of an almost critical problem in the ball