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Q-curvature flow on the standard sphere of even dimension |
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| Authors: | Xuezhang Chen Xingwang Xu |
| Institution: | a Department of Mathematics & IMS, Nanjing University, Nanjing 210093, PR China b Department of Applied Mathematics, Nanjing University of Science & Technology, Nanjing 210094, PR China c Department of Mathematics, National University of Singapore, Block S17 (SOC1), 10 Lower Kent Ridge Road, Singapore 119076, Singapore |
| Abstract: | Using a gradient flow approach initiated by S. Brendle, we generalize the existence theorem for the prescribing Q-curvature equation on S2 (Gauss curvature) by M. Struwe (2005) 14] and on S4 by Malchiodi and Struwe (2006) 12] to Sn for all even n with the similar assumption on the prescribed curvature candidate f. |
| Keywords: | Q-curvature flow Prescribing Q-curvature Morse theory |
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