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

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

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

3 Citations (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

Access to Document

10.1353/ajm.2024.a917542

Cite this

@article{24ef2bb8b8e547498055680e7d27510c,

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",

note = "Publisher Copyright: {\textcopyright} 2024 by Johns Hopkins University Press.",

year = "2024",

month = feb,

doi = "10.1353/ajm.2024.a917542",

language = "English",

volume = "146",

pages = "241--276",

journal = "American Journal of Mathematics",

issn = "0002-9327",

publisher = "Johns Hopkins University Press",

number = "1",

}

TY - JOUR

T1 - ON THE σk-NIRENBERG PROBLEM

AU - Li, Yanyan

AU - Nguyen, Luc

AU - Wang, Bo

PY - 2024/2

Y1 - 2024/2

N2 - 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.

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.

UR - https://www.scopus.com/pages/publications/85183391334

U2 - 10.1353/ajm.2024.a917542

DO - 10.1353/ajm.2024.a917542

M3 - Article

AN - SCOPUS:85183391334

SN - 0002-9327

VL - 146

SP - 241

EP - 276

JO - American Journal of Mathematics

JF - American Journal of Mathematics

IS - 1

ER -

ON THE σ_k-NIRENBERG PROBLEM

Abstract

Access to Document

Other files and links

Fingerprint

Cite this