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We calculate the full asymptotic expansion of boundary blow-up solutions, forany nonlinearity f. Our approach enables us to state sharp qualitative resultsregarding uniqueness and ra-dial symmetry of solutions, as well as acharacterization 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.

Boundary blow-up solutions in the unit ball : asymptotics, uniqueness and symmetry (v3)