Abstract
The fractional Yamabe problem was proposed by González and Qing in [Fractional conformal Laplacians and fractional Yamabe problems, Anal. PDE 6(7) (2013) 1535–1576]. One of their results is that if the fractional Yamabe constant satisfies [Formula: see text], then the fractional Yamabe problem is solvable for [Formula: see text]. Using the method from Brezis–Lieb, we give a new, and shorter proof, of this statement.
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