Laurent Véron

activity

20242026

collaborators

4 papers

math.AP2026

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

Marie-FranÃ§oise Bidaut-VÃ©ron, Marta Garcia-Huidobro, Laurent VÃ©ron

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

math.AP2025

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

Marie-FranÃ§oise Bidaut-VÃ©ron, Laurent VÃ©ron

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

math.AP2025

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

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.AP2024

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

We study the local properties of positive solutions of the equation $- I^ u + a e^{b u} = m ∣\nabla u ∣^{q}$ in a punctured domain $I^c ◯ ∖ {0}$ of $R^{2}$ where $m, a, b$ are positive pa…