| Autor: |
Bartolucci, Daniele, Jevnikar, Aleks, Lee, Youngae, Yang, Wen |
| Rok vydání: |
2018 |
| Předmět: |
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| Zdroj: |
Comm. PDEs (2019) |
| Druh dokumentu: |
Working Paper |
| DOI: |
10.1080/03605302.2019.1581801 |
| Popis: |
We consider the Gel'fand problem, $$ \begin{cases} \Delta w_{\varepsilon}+\varepsilon^2 h e^{w_{\varepsilon}}=0\quad&\mbox{in}\quad\Omega, w_{\varepsilon}=0\quad&\mbox{on}\quad\partial\Omega, \end{cases} $$ where $h$ is a nonnegative function in ${\Omega\subset\mathbb{R}^2}$. Under suitable assumptions on $h$ and $\Omega$, we prove the local uniqueness of $m-$bubbling solutions for any $\varepsilon>0$ small enough. |
| Databáze: |
arXiv |
| Externí odkaz: |
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