Non-linear Elliptic Equations in Conformal Geometry

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	FrontmatterDownload pp. i–iv
	ContentsDownload p. v
	PrefaceDownload pp. vii–viii
1	Gaussian curvature equationpp. 1–8
2	Moser–Trudinger inequality (on the sphere)pp. 9–16
3	Polyakov formula on compact surfacespp. 17–24
4	Conformal covariant operators – Paneitz operatorpp. 25–29
5	Functional determinant on 4-manifoldspp. 30–37
6	Extremal metrics for the log-determinant functionalpp. 38–49
7	Elementary symmetric functionspp. 50–55
8	A priori estimates for the regularized equation $(*)_{δ}$ pp. 56–73
9	Smoothing via the Yamabe flowpp. 74–78
10	Deforming $σ_{2}$ to a constant functionpp. 79–86
	Bibliographypp. 87–92