Isolated singularities of solutions of a 2-D diffusion equation with mixed reaction
Abstract
We study the local properties of positive solutions of the equation -∆u + ae bu = m |∇u| q in a punctured domain Ω \ {0} of R 2 where m, a, b are positive parameters and q > 1. We study particularly the existence of solutions with an isolated singularity and the local behaviour of such singular solutions.
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