Duke Mathematical Journal

A flow approach to Nirenberg's problem

Michael Struwe

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Abstract

We describe an alternative approach to the existence results of S.-Y. A. Chang and P. C. Yang for metrics of prescribed scalar curvature on via the prescribed curvature flow. Moreover, we give an example showing that the results of these authors in general cannot be improved upon.

Article information

Source
Duke Math. J. Volume 128, Number 1 (2005), 19-64.

Dates
First available in Project Euclid: 17 May 2005

Permanent link to this document
http://projecteuclid.org/euclid.dmj/1116361226

Digital Object Identifier
doi:10.1215/S0012-7094-04-12812-X

Mathematical Reviews number (MathSciNet)
MR2137948

Zentralblatt MATH identifier
1087.53034

Subjects
Primary: 58J35: Heat and other parabolic equation methods
Secondary: 35K55: Nonlinear parabolic equations 35K65: Degenerate parabolic equations

Citation

Struwe, Michael. A flow approach to Nirenberg's problem. Duke Mathematical Journal 128 (2005), no. 1, 19--64. doi:10.1215/S0012-7094-04-12812-X. http://projecteuclid.org/euclid.dmj/1116361226.


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