Positive evanescent solutions of nonlinear elliptic equations

In this note we investigate the existence of positive solutions vanishing at +∞ to the elliptic equation u+f (x,u)+g(|x|)x · ∇u = 0, |x|>A>0, in Rn (n 3) under mild restrictions on the functions f , g. © 2006 Elsevier Inc. All rights reserved