Positive solutions to a class of second-order semilinear elliptic equations in an exterior domain

In this paper, by using the Schauder–Tikhonov fixed point theorem, we investigate the existence of positive solutions to a convection-diffusion equation Δu+f(x,u,∇u)=0Δu+f(x,u,∇u)=0, in an exterior domain of RnRn.