By Yimei Li and Laurent Véron

We study the local properties of positive solutions of the equation *-\Delta u+ae^{bu}=m|\nabla u|^q* in a punctured domain *\Omega\setminus\{0\}* of *\bf 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.

September 10, 2024

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