Singularities and asymptotics of solutions of the Chandrasekhar-Hailton-Jacobi equation
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866914167798104064 |
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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 $-Δu+ m\abs{\nabla u}^q-e^{u}=0$ in a punctured domain $Ω\setminus\{0\}$ of $R^N$, $N\geq 2$, 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. . |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_01136 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Singularities and asymptotics of solutions of the Chandrasekhar-Hailton-Jacobi equation Bidaut-Véron, Marie-Françoise Véron, Laurent Analysis of PDEs 35J61, 34B16 We study the local properties of positive solutions of the equation $-Δu+ m\abs{\nabla u}^q-e^{u}=0$ in a punctured domain $Ω\setminus\{0\}$ of $R^N$, $N\geq 2$, 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. . |
| title | Singularities and asymptotics of solutions of the Chandrasekhar-Hailton-Jacobi equation |
| topic | Analysis of PDEs 35J61, 34B16 |
| url | https://arxiv.org/abs/2506.01136 |