Asymptotic behaviour of positive large solutions of quasilinear logistic problems

We are interested in the asymptotic analysis of singular solutions with blow-up boundary for a class of quasilinear logistic equations Volleyball - Shoes - Mens with indefinite potential.Under 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 Hair Bleaching Cream a related comparison principle.

The abstract result is illustrated with an application to the logistic problem with convection.

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