Singular solutions of perturbed logistic-type equations
Analysis of PDEs
2016-02-22 v1
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.
Cite
@article{arxiv.1602.06103,
title = {Singular solutions of perturbed logistic-type equations},
author = {Dušan Repovš},
journal= {arXiv preprint arXiv:1602.06103},
year = {2016}
}