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https://doi.org/10.1016/j.jfa.2004.07.003
| Title: | Uniqueness and non-existence theorems for conformally invariant equations | Authors: | Xu, X. | Keywords: | Conformally invariant integral equations Method of moving spheres Q-curvature |
Issue Date: | 1-May-2005 | Citation: | Xu, X. (2005-05-01). Uniqueness and non-existence theorems for conformally invariant equations. Journal of Functional Analysis 222 (1) : 1-28. ScholarBank@NUS Repository. https://doi.org/10.1016/j.jfa.2004.07.003 | Abstract: | By using the equivalent integral form for the Q-curvature equation, we generalize the well-known non-existence results on two-dimensional Gaussian curvature equation to all dimensional Q-curvature equation. Somehow, we introduce a new approach to Q-curvature equation which is higher order and even pseudo-differential equation. As a by-product, we do classify the solutions for Q = 1 solutions on Sn as well as on Rn with necessary growth rate assumption. © 2004 Elsevier Inc. All rights reserved. | Source Title: | Journal of Functional Analysis | URI: | http://scholarbank.nus.edu.sg/handle/10635/104428 | ISSN: | 00221236 | DOI: | 10.1016/j.jfa.2004.07.003 |
| Appears in Collections: | Staff Publications |
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