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 - Jan 1 2017|
- Critical exponent
- Fractional Laplacian
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