  We calculate the full asymptotic expansion of boundary blow-up solutions, for
any nonlinearity f. Our approach enables us to state sharp qualitative results
regarding uniqueness and ra-dial symmetry of solutions, as well as a
characterization of nonlinearities for which the blow-up rate is universal.
Lastly, we study in more detail the standard nonlinearities f(u) = u^p, p > 1.
