Singular solutions of perturbed logistic-type equations (1602.06103v1)

Published 19 Feb 2016 in math.AP

Abstract: We are concerned with the qualitative analysis of positive singular solutions with blow-up boundary for a class of logistic-type equations with slow diffusion and variable potential. We establish the exact blow-up rate of solutions near the boundary in terms of Karamata regular variation theory. This enables us to deduce the uniqueness of the singular solution.

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Authors (1)

Dušan Repovš

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