A dynamical system approach to the Chandrasekhar-Hamilton-Jacobi equation
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866915433707208704 |
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| author | Bidaut-Véron, Marie-Françoise Véron, Laurent |
| author_facet | Bidaut-Véron, Marie-Françoise Véron, Laurent |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_07110 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A dynamical system approach to the Chandrasekhar-Hamilton-Jacobi equation Bidaut-Véron, Marie-Françoise Véron, Laurent Analysis of PDEs Classical Analysis and ODEs 35J62 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. |
| title | A dynamical system approach to the Chandrasekhar-Hamilton-Jacobi equation |
| topic | Analysis of PDEs Classical Analysis and ODEs 35J62 |
| url | https://arxiv.org/abs/2507.07110 |