Uniqueness and asymptotic behaviour for solutions of semilinear problems with boundary blow-up

By Jorge García-Melián, R. Letelier-Albornoz, J. Lis. 2001

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Boundary behavior for large solutions to elliptic equations with singular weights (2007, background): “Thus, it seems reasonable to ask that the weight a(x) has a prescribed behavior near @›. As in [ 17 ], [7] and [8], we are assuming”
Singular phenomena in nonlinear elliptic problems. From blow-up boundary solutions to equations with singular nonlinearities (2006, background): “Nonlinear elliptic equation, singularity, boundary blow-up, bifurcation, asymptotic anal- ysis, maximum principle, Karamata regular variation theory.”
Uniqueness of the blow-up boundary solution of logistic equations with absorbtion (2002, background): “Note that the only case of Theorem 1 studied so far is f( u)= up (p > 1) and k(t) = t α (α > 0) (see [ 6 ]).”