Geometry driven Type II higher dimensional blow-up for the critical heat equation

Manuel del Pino, Monica Musso, Juncheng Wei

We consider the problem v_t & = Δv+ |v|^{p-1}v \quad\hbox{in }\ Ω\times (0, T), v & =0 \quad\hbox{on } \partial Ω\times (0, T ) , v& >0 \quad\hbox{in }\ Ω\times (0, T) . In a domai…