ON THE σk-NIRENBERG PROBLEM

Yanyan Li; Luc Nguyen; Bo Wang

doi:10.1353/ajm.2024.a917542

ON THE σ_k-NIRENBERG PROBLEM

Yanyan Li, Luc Nguyen, Bo Wang

School of Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

We consider the problem of prescribing the σ_k-curvature on the standard sphere Sⁿ with n ≥ 3. We prove existence and compactness theorems when k ≥ n/2. This extends an earlier result of Chang, Han, and Yang for n = 4 and k = 2.

Original language	English
Pages (from-to)	241-276
Number of pages	36
Journal	American Journal of Mathematics
Volume	146
Issue number	1
DOIs	https://doi.org/10.1353/ajm.2024.a917542
Publication status	Published - Feb 2024

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Li, Y., Nguyen, L., & Wang, B. (2024). ON THE σ_k-NIRENBERG PROBLEM. American Journal of Mathematics, 146(1), 241-276. https://doi.org/10.1353/ajm.2024.a917542

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abstract = "We consider the problem of prescribing the σk-curvature on the standard sphere Sn with n ≥ 3. We prove existence and compactness theorems when k ≥ n/2. This extends an earlier result of Chang, Han, and Yang for n = 4 and k = 2.",

author = "Yanyan Li and Luc Nguyen and Bo Wang",

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ON THE σ_k-NIRENBERG PROBLEM

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