Abdelhedi, WaelAlhemedan, SuadChtioui, HichemHajaiej, HichemMarkowich, Peter2022-03-162022-03-162017-01-12Abdelhedi, W., Alhemedan, S., Chtioui, H., Hajaiej, H., & Markowich, P. A. (2017). Existence of solutions to perturbed fractional Nirenberg problems. <i>Electronic Journal of Differential Equations, 2017</i>(14), pp. 1-16.1072-6691https://hdl.handle.net/10877/15519In 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.Text16 pages1 file (.pdf)enAttribution 4.0 InternationalFractional LaplacianCritical exponentSigma-curvatureCritical points at infinityArticle