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arXiv · 2506.01136

Singularities and asymptotics of solutions of the Chandrasekhar-Hailton-Jacobi equation

Marie-Françoise Bidaut-Véron·Laurent Véron
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Abstract

We study the local properties of positive solutions of the equation $-\Delta u+ m\abs{\nabla u}^q-e^{u}=0$ in a punctured domain $\Omega\setminus\{0\}$ of $R^N$, $N\geq 2$, where $m$ is a positive parameter 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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Marie-Françoise Bidaut-Véron, Laurent Véron. 2025-06-01. Singularities and asymptotics of solutions of the Chandrasekhar-Hailton-Jacobi equation. https://arxiv.org/abs/2506.01136

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