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Peer-reviewedCC BY 4.0Journal of Functional Analysis

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

  • Marie-Françoise Bidaut-Véron
  • Laurent Véron
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Abstract

We study the local properties of positive solutions of the equation -∆u + m |∇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.

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Cite

BibTeXRIS
BibTeX
@article{bidautveron2026singularities,
  title = {{Singularities and asymptotics of solutions of the Chandrasekhar-Hamilton-Jacobi equation}},
  author = {Marie-Françoise Bidaut-Véron and Laurent Véron},
  journal = {Journal of Functional Analysis},
  year = {2026},
  month = oct,
  doi = {10.1016/j.jfa.2026.111696},
  url = {https://hal.science/hal-05060822v6},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - Singularities and asymptotics of solutions of the Chandrasekhar-Hamilton-Jacobi equation
AU  - Marie-Françoise Bidaut-Véron
AU  - Laurent Véron
PY  - 2026
DA  - 2026/10/30
JO  - Journal of Functional Analysis
DO  - 10.1016/j.jfa.2026.111696
UR  - https://hal.science/hal-05060822v6
AB  - We study the local properties of positive solutions of the equation -∆u + m |∇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.
SN  - 0022-1236
SN  - 1096-0783
ER  -