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Arabian Journal of Mathematics

pp 1–17

First Online: 18 April 2017Received: 27 October 2016Accepted: 30 March 2017DOI: 10.1007-s40065-017-0165-5

Cite this article as: Yacoub, R. Arab. J. Math. 2017. doi:10.1007-s40065-017-0165-5


This paper is concerned with prescribing the fractional Q-curvature on the unit sphere \\mathbb {S}^{n}\ endowed with its standard conformal structure \g 0\, \ge 4\. Since the associated variational problem is noncompact, we approach this issue with techniques passed by Abbas Bahri, as the well known theory of critical points at infinity, as well as some lesser known topological invariants that appear here as criteria for existence results.

Mathematics Subject Classification18G35 35A15 35A25 35J65 53C15 53C21 58E05 Open image in new windowDownload to read the full article text

Autor: Ridha Yacoub


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