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Existence results for the fractional Nirenberg problem.

Authors :
Chen, Yan-Hong
Liu, Chungen
Zheng, Youquan
Source :
Journal of Functional Analysis. Jun2016, Vol. 270 Issue 11, p4043-4086. 44p.
Publication Year :
2016

Abstract

We consider the fractional Nirenberg problem on the standard sphere S n with n ≥ 4 . Using the theory of critical points at infinity, we establish an Euler–Hopf type formula and obtain some existence results for curvature satisfying assumptions of Bahri–Coron type. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00221236
Volume :
270
Issue :
11
Database :
Academic Search Index
Journal :
Journal of Functional Analysis
Publication Type :
Academic Journal
Accession number :
114495881
Full Text :
https://doi.org/10.1016/j.jfa.2016.03.013