Isolated singularities of solutions of a 2-D diffusion equation with mixed reaction
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866914945712521216 |
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| author | Li, Yimei Véron, Laurent |
| author_facet | Li, Yimei Véron, Laurent |
| contents | We study the local properties of positive solutions of the equation $-Δu+ae^{bu}=m|\nabla u|^q$ in a punctured domain $Ω\setminus\{0\}$ of $\bf R^2$ where $m,a,b$ are positive parameters 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_2408_14246 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Isolated singularities of solutions of a 2-D diffusion equation with mixed reaction Li, Yimei Véron, Laurent Analysis of PDEs 5J61, 34B16 We study the local properties of positive solutions of the equation $-Δu+ae^{bu}=m|\nabla u|^q$ in a punctured domain $Ω\setminus\{0\}$ of $\bf R^2$ where $m,a,b$ are positive parameters and $q>1$. We study particularly the existence of solutions with an isolated singularity and the local behaviour of such singular solutions. |
| title | Isolated singularities of solutions of a 2-D diffusion equation with mixed reaction |
| topic | Analysis of PDEs 5J61, 34B16 |
| url | https://arxiv.org/abs/2408.14246 |