Symmetry of large solutions of nonlinear elliptic equations in a ball
  Let $g$ be a locally Lipschitz continuous real valued function which satisfies the Keller-Osserman condition and is convex at infinity, then any large solution of $-\Delta u+g(u)=0$ in a ball is radially symmetric. 
Alessio Porretta (DM), Laurent Veron (LMPT)