Quasilinear Reactiondiffusion Equation X22 Partialtuum1xup Quad Xtinmathbbrntimes0infty

“We consider the following quasilinear reaction-diffusion equation $$ \partial_tu=Δu^m+(1+|x|)^σu^p, \quad (x,t)\in\mathbb{R}^N\times(0,\infty), $$ in dimension $N\geq3$ and in the range of exponents $1<p<m$ and $-\infty<σ<-2$.”