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arXiv · 2008.08437

On the $\sigma_{k}$-Nirenberg problem

YanYan Li·Luc Nguyen·Bo Wang
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Abstract

We consider the problem of prescribing the $\sigma_k$-curvature on the standard sphere $\mathbb{S}^n$ with $n \geq 3$. We prove existence and compactness theorems when $k \geq n/2$. This extends an earlier result of Chang, Han and Yang for $n = 4$ and $k = 2$.

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YanYan Li, Luc Nguyen, Bo Wang. 2020-08-19. On the $\sigma_{k}$-Nirenberg problem. https://arxiv.org/abs/2008.08437

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