Laurent Véron

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20242026

most citedSingularities and asymptotics of solutions of the Chandrasekhar-Hailton-Jacobi equation

1 citations · 1 across the 3 of their papers we have counts for

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math.AP2026

Local and global properties of solutions of an elliptic equation involving exponential and gradient reaction

Marie-Françoise Bidaut-Véron, Marta Garcia-Huidobro, Laurent Véron

We study some local and global properties of solutions of $-Δu- m\abs{\nabla u}^q-e^{u}=0$ in a punctured domain $Ω ∖ {0}$ , or in an exterior domain of $R^{N}$ , $N \geq 2$ , wh…

math.AP2025

A dynamical system approach to the Chandrasekhar-Hamilton-Jacobi equation

Marie-Françoise Bidaut-Véron, Laurent Véron

We study the local properties of positive solutions of the equation -Delta u= exp(u) in a punctured domain Omega of RN in the range of parameters q > 1 and M > 0. We prove a series…

math.AP2025★ 1 cited

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

Marie-Françoise Bidaut-Véron, Laurent Véron

We study the local properties of positive solutions of the equation $-Δu+ m\abs{\nabla u}^q-e^{u}=0$ in a punctured domain $Ω ∖ {0}$ of $R^{N}$ , $N \geq 2$ , where $m$ is a pos…

math.AP2024

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 $- Δ u + a e^{b u} = m ∣\nabla u ∣^{q}$ in a punctured domain $Ω ∖ {0}$ of $R^{2}$ where $m, a, b$ are positive para…