Uniqueness theorem for integral equations and its application

Please use this identifier to cite or link to this item: https://doi.org/10.1016/j.jfa.2007.03.005

Title:	Uniqueness theorem for integral equations and its application
Authors:	Xu, X.
Keywords:	Integral equation Q-curvature equation Uniqueness
Issue Date:	1-Jun-2007
Citation:	Xu, X. (2007-06-01). Uniqueness theorem for integral equations and its application. Journal of Functional Analysis 247 (1) : 95-109. ScholarBank@NUS Repository. https://doi.org/10.1016/j.jfa.2007.03.005
Abstract:	This paper is devoted to answering a question asked recently by Y. Li regarding geometrically interesting integral equations. The main result is to give a necessary and sufficient condition on the parameters so that the integral equation with parameters to be discussed in this paper have regular solutions. In the case such condition is satisfied, we will write down the exact solution. As its application of our method, we should show that the non-existence theory of the solutions of prescribed scalar curvature equation on Sn can be generalized to that of prescribed Branson-Paneitz Q-curvature equations on Sn. © 2007 Elsevier Inc. All rights reserved.
Source Title:	Journal of Functional Analysis
URI:	http://scholarbank.nus.edu.sg/handle/10635/104435
ISSN:	00221236
DOI:	10.1016/j.jfa.2007.03.005
Appears in Collections:	Staff Publications

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