We will discuss the existence of blowup solutions to $u_t=\Delta u+|u|^\frac{4}{n-2}u-|u|^{q-1}u$ with $0<q<\frac{n+2}{n-2}$. We show that there are three kinds of blowup solutions in this equation. In particular, for the case $q\in(0,1)$, we construct blowup solutions by gluing a specific blowup solutions of $u_t=\Delta u+|u|^\frac{4}{n-2}u$ and a specific solution of $u_t=\Delta u-|u|^{q-1}u$ with an extinction property.
