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https://scholarbank.nus.edu.sg/handle/10635/118873
| Title: | On the Prescribing Q-Curvature Problem on S3 | Authors: | CAI RUILUN | Keywords: | conformal geometry, semilinear PDE, negative exponent, differential geometry, Schmidt-Lyapunov reduction, topological degree | Issue Date: | 18-Sep-2014 | Citation: | CAI RUILUN (2014-09-18). On the Prescribing Q-Curvature Problem on S3. ScholarBank@NUS Repository. | Abstract: | In this thesis, we study the prescribing Q-curvature problem on the 3-dimensional standard sphere. The Schmidt-Lyapunov reduction method is applied to obtain a perturbation result for the solvability of the equation. With the help of an a apriori estimate to the positive solutions of the equation, we use the Leray-Schauder degree theory to eliminate the close to constant restriction of the prescribed function. | URI: | http://scholarbank.nus.edu.sg/handle/10635/118873 |
| Appears in Collections: | Ph.D Theses (Open) |
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| CaiRuilun-v9-send.pdf | 664.61 kB | Adobe PDF | OPEN | None | View/Download |
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