A dynamical system approach to the Chandrasekhar-Hamilton-Jacobi equation
Analysis of PDEs
2025-08-08 v2 Classical Analysis and ODEs
Abstract
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 of a priori estimates near a singular point. In the case of radial solutions we use various techniques inherited from the dynamical systems theory to obtain the precise behaviour of singular solutions. We prove also the existence of singular solutions with these precise behaviours.
Keywords
Cite
@article{arxiv.2507.07110,
title = {A dynamical system approach to the Chandrasekhar-Hamilton-Jacobi equation},
author = {Marie-Françoise Bidaut-Véron and Laurent Véron},
journal= {arXiv preprint arXiv:2507.07110},
year = {2025}
}
Comments
48 pages