Curvature flow to the Nirenberg problem

Ma, Li and Hong, Min-Chun (2010) Curvature flow to the Nirenberg problem. Archiv der Mathematik, 94 3: 277-289. doi:10.1007/s00013-010-0101-9

Author Ma, Li
Hong, Min-Chun
Title Curvature flow to the Nirenberg problem
Journal name Archiv der Mathematik   Check publisher's open access policy
ISSN 0003-889X
Publication date 2010-03
Sub-type Article (original research)
DOI 10.1007/s00013-010-0101-9
Volume 94
Issue 3
Start page 277
End page 289
Total pages 13
Editor E.-U. Gekeler
Place of publication Stuttgart, Germany
Publisher Birkhauser
Collection year 2011
Language eng
Formatted abstract
In this note, we study the curvature flow to the Nirenberg problem
on S2 with non-negative nonlinearity. This flow was introduced by
Brendle and Struwe. Our result is that the Nirenberg problem has a solution
provided the prescribed non-negative Gaussian curvature f has at
least two positive local maxima of f, and at all positive valued saddle
points q of f there holds ΔS2f(q) > 0.

Keyword Nirenberg problem
Curvature flow
Non-negative nonlinearity
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status UQ

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Mathematics and Physics
Official 2011 Collection
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Citation counts: TR Web of Science Citation Count  Cited 1 times in Thomson Reuters Web of Science Article | Citations
Scopus Citation Count Cited 1 times in Scopus Article | Citations
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Created: Sun, 28 Mar 2010, 00:07:37 EST