Symmetry of large solutions of semilinear elliptic equations.

Let g be a locally Lipschitz continuous function defined on R. We assume that g satisfies the Keller-Osserman condition and there exists a positive real number a such that g is convex on [a, infinity). Then any solution it of -Delta u + g(u) = 0 in a ball B of R-N, N >=, 2, which tends to infinity on aB, is spherically symmetric