On the positive solutions to some quasilinear elliptic partial differential equations

Octavian G. Mustafa, Yong Zhou

We establish that the elliptic equation $\Delta u+f(x,u)+g(|x|)x\cdot \nabla u=0$, where $x\in {\mathbb{R}}^n$, $n\ge 3$, and $|x|>R>0$, has a positive solution which decays to 0 as $|…