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arXiv · 2106.15423

Non-degeneracy of multi-bump solutions for the prescribed scalar curvature equations and applications

Yuxia Guo·Monica Musso·Shuangjie Peng·Shusen Yan
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Abstract

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].

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Yuxia Guo, Monica Musso, Shuangjie Peng, Shusen Yan. 2021-06-29. Non-degeneracy of multi-bump solutions for the prescribed scalar curvature equations and applications. https://arxiv.org/abs/2106.15423

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