Asymptotic behaviour of positive large solutions of quasilinear logistic problems

Asymptotic behaviour of positive large solutions of quasilinear logistic problems

Blog Article

We are interested in the asymptotic analysis of singular solutions with blow-up boundary for a class of quasilinear logistic equations with indefinite potential.Under natural assumptions, we study the competition between the growth of the variable weight and the Pomegranate behaviour of the nonlinear term, in order to establish Slip Covers 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.