On the Prescribing Q-Curvature Problem on S3

Please use this identifier to cite or link to this item: https://scholarbank.nus.edu.sg/handle/10635/118873

DC Field	Value
dc.title	On the Prescribing Q-Curvature Problem on S3
dc.contributor.author	CAI RUILUN
dc.date.accessioned	2015-02-28T18:00:45Z
dc.date.available	2015-02-28T18:00:45Z
dc.date.issued	2014-09-18
dc.identifier.citation	CAI RUILUN (2014-09-18). On the Prescribing Q-Curvature Problem on S3. ScholarBank@NUS Repository.
dc.identifier.uri	http://scholarbank.nus.edu.sg/handle/10635/118873
dc.description.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.
dc.language.iso	en
dc.subject	conformal geometry, semilinear PDE, negative exponent, differential geometry, Schmidt-Lyapunov reduction, topological degree
dc.type	Thesis
dc.contributor.department	MATHEMATICS
dc.contributor.supervisor	XU XINGWANG
dc.description.degree	Ph.D
dc.description.degreeconferred	DOCTOR OF PHILOSOPHY
dc.identifier.isiut	NOT_IN_WOS
Appears in Collections:	Ph.D Theses (Open)

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