Please use this identifier to cite or link to this item: http://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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