Existence of solutions to perturbed fractional Nirenberg problems

Wael Abdelhedi, Suad Alhemedan, Hichem Chtioui, Hichem Hajaiej, Peter Markowich

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

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.

Original languageEnglish (US)
Article number14
JournalElectronic Journal of Differential Equations
Volume2017
StatePublished - Jan 1 2017

Keywords

  • Critical exponent
  • Fractional Laplacian
  • σ-curvature

ASJC Scopus subject areas

  • Analysis

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