Non-linear Elliptic Equations in Conformal Geometry
Sun-Yung Alice Chang
Princeton University, USA
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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 pp. 56–73 |
| 9 | Smoothing via the Yamabe flowpp. 74–78 |
| 10 | Deforming to a constant functionpp. 79–86 |
| Bibliographypp. 87–92 |