In this paper of Carmen Cortazar, Manuel del Pino, Monica Musso they studied the profile of solutions which blow-up in in-finite time of the critical nonlinear heat equation
in a bounded domain with .
The solutions are shown to have bubbling type of behaviour, that means, there exist points in which are the only blow-up points of such a solution.
Moreover, such a solution can be constructed approximately by: let be the bubble points, then
where and as .