Existence of solutions to perturbed fractional Nirenberg problems
Date
2017-01-12
Authors
Abdelhedi, Wael
Alhemedan, Suad
Chtioui, Hichem
Hajaiej, Hichem
Markowich, Peter
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
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.
Description
Keywords
Fractional Laplacian, Critical exponent, Sigma-curvature, Critical points at infinity
Citation
Abdelhedi, 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.
Rights
Attribution 4.0 International