Non-degeneracy of multi-bump solutions for the prescribed scalar curvature equations and applications
| Autor: | Guo, Yuxia, Musso, Monica, Peng, Shuangjie, Yan, Shusen |
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| Rok vydání: | 2021 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | We consider the following prescribed scalar curvature equations in ${\mathbb{R}}^N$ $$ - \Delta u =K(|y|)u^{2^*-1},\quad u>0 \quad \mbox{in} \quad {\mathbb{R}}^N, \quad u \in D^{1, 2}({\mathbb{R}}^N), $$ where $K(r)$ is a positive function, $2^*=\frac{2N}{N-2}$. We modify the methods and improve the results in [15]. |
| Databáze: | arXiv |
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