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EXISTENCE OF SOLUTIONS TO PERTURBED FRACTIONAL NIRENBERG PROBLEMS
Journal article   Peer reviewed

EXISTENCE OF SOLUTIONS TO PERTURBED FRACTIONAL NIRENBERG PROBLEMS

Wael Abdelhedi, Suad Alhemedan, Hichem Chtioui, Hichem Hajaiej and Peter A. Markowich
Electronic journal of differential equations, Vol.2017(14), pp.1-16
2017

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
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.

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