In this article we study a fractional Nirenberg problem with a small perturbation of a constant. Under a flatness assumption around the critical points, we prove an existence result in terms of Euler-Hopf index. Our method hinges on a revisited version of the celebrated critical points at infinity approach which goes back to Bahri.
|Original language||English (US)|
|Journal||Electronic Journal of Differential Equations|
|State||Published - 2017|
Bibliographical noteFunding Information:
Suad Alhemedan would like to thank Twasol Research Excellence Program, “TRE Program”, King Saud University, Saudi Arabia for its support.
©2017 Texas State University.
- Critical exponent
- Fractional Laplacian
ASJC Scopus subject areas