Isolated singularities of solutions of a 2-D diffusion equation with mixed reaction

Yimei Li, Laurent Véron

We study the local properties of positive solutions of the equation $-\Delta u+a{e}^{bu}=m|\nabla u{|}^q$ in a punctured domain $\Omega \setminus \{0\}$ of ${\mathbf{R}}^2$ where $m,a,b$ are positive para…