Radial Symmetry of Large Solutions of Semilinear Elliptic Equations with   Convection
  We study radial symmetry of large solutions of the semi-linear elliptic problem \Delta u + \nabla h.\nabla u = f(|x|,u), and we provide sharp conditions under which the problem has a radial solution. The result is independent of the rate of growth of the solution at infinity. 
Ehsan Kamalinejad and Amir Moradifam
math.AP