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• W3103018909 abstract "We study analysis aspects of the sixth order GJMS operator $P_g^6$. Under conformal normal coordinates around a point, the expansions of Green's function of $P_g^6$ with pole at this point are presented. As a starting point of the study of $P_g^6$, we manage to give some existence results of prescribed $Q$-curvature problem on Einstein manifolds. One among them is that for $n geq 10$, let $(M^n,g)$ be a closed Einstein manifold of positive scalar curvature and $f$ a smooth positive function in $M$. If the Weyl tensor is nonzero at a maximum point of $f$ and $f$ satisfies a vanishing order condition at this maximum point, then there exists a conformal metric $tilde g$ of $g$ such that its $Q$-curvature $Q_{tilde g}^6$ equals $f$." @default.
• W3103018909 created "2020-11-23" @default.
• W3103018909 creator A5040261890 @default.
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• W3103018909 date "2017-05-12" @default.
• W3103018909 modified "2023-09-26" @default.
• W3103018909 title "Remarks on GJMS operator of order six" @default.
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• W3103018909 doi "https://doi.org/10.2140/pjm.2017.289.35" @default.
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