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

2025/06/01 by Marie-Françoise Bidaut-Véron, Bidaut-Véron, Marie-Françoise, Лаурент Верон +1 · 1 citation
Mathematics · Physics and Astronomy · #34B16 #35J61 #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Waves and Solitons #Quantum chaos and dynamical systems #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.2506.01136

openalex publication_date 2025/06/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/31

Abstract

We study the local properties of positive solutions of the equation -Δu+ m\abs∇ u^q-e^u=0 in a punctured domain Ω∖\0\ of R^N, N≥ 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. .

Citations

• Isolated singularities of solutions of a 2-D diffusion equation with mixed reaction
• Local behaviour of the solutions of the Chipot-Weissler equation
• FURTHER STUDIES OF EMDEN'S AND SIMILAR DIFFERENTIAL EQUATIONS

Cited by

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

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