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

数学学院

Rutgers - The State University of New Jersey, New Brunswick
University of Oxford

科研成果: 期刊稿件 › 文章 › 同行评审

3 引用（Scopus）

摘要

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.

源语言	英语
页（从-至）	241-276
页数	36
期刊	American Journal of Mathematics
卷	146
期	1
DOI	https://doi.org/10.1353/ajm.2024.a917542
出版状态	已出版 - 2月 2024

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10.1353/ajm.2024.a917542

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引用此

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title = "ON THE σk-NIRENBERG PROBLEM",

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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AU - Li, Yanyan

AU - Nguyen, Luc

AU - Wang, Bo

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AB - 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.

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DO - 10.1353/ajm.2024.a917542

M3 - Article

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VL - 146

SP - 241

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JO - American Journal of Mathematics

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ON THE σk-NIRENBERG PROBLEM

摘要

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ON THE σ_k-NIRENBERG PROBLEM