Abstract
We are interested in the asymptotic analysis of singular solutions with blow- up boundary for a class of quasilinear logistic equations with indefinite potential. Un- der natural assumptions, we study the competition between the growth of the variable weight and the behaviour of the nonlinear term, in order to establish the blow-up rate of the positive solution. The proofs combine the Karamata regular variation theory with a related comparison principle. The abstract result is illustrated with an application to the logistic problem with convection.
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