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

Yimei Li; Laurent Véron

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arXiv · 2408.14246

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

Yimei Li·Laurent Véron

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Abstract

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.

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Yimei Li, Laurent Véron. 2024-08-26. Isolated singularities of solutions of a 2-D diffusion equation with mixed reaction. https://arxiv.org/abs/2408.14246

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