Existence of solutions to perturbed fractional Nirenberg problems

Existence of solutions to perturbed fractional Nirenberg problems

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 infini...

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Bibliographic Details
Main Authors: Wael Abdelhedi, Suad Alhemedan, Hichem Chtioui, Hichem Hajaiej, Peter A. Markowich
Format: Article
Language:English
Published: Texas State University 2017-01-01
Series:Electronic Journal of Differential Equations
Subjects:
Fractional Laplacian
critical exponent
sigma-curvature
critical points at infinity
Online Access:http://ejde.math.txstate.edu/Volumes/2017/14/abstr.html
Description
Summary: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.
ISSN:1072-6691

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