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May 2018, 17(3): 849-885. doi: 10.3934/cpaa.2018043
Existence results for the fractional Q-curvature problem on three dimensional CR sphere
Chungen Liu 1,, and Yafang Wang 2,
School of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, China
School of Mathematical Sciences, Nankai University, Tianjin 300071, China
Received July 2017 Revised July 2017 Published January 2018
Fund Project: The first author is supported by NSF of China (11471170).
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In this paper the fractional Q-curvature problem on three dimensional CR sphere is considered. By using the critical points theory at infinity, an existence result is obtained.
Keywords: CR manifolds, CR fractional sub-Laplacian, Yamabe problem, critical points at infinity, fractional Q-curvature.
Mathematics Subject Classification: Primary: 35H20, 35S05; Secondary: 53C55.
Citation: Chungen Liu, Yafang Wang. Existence results for the fractional Q-curvature problem on three dimensional CR sphere. Communications on Pure & Applied Analysis, 2018, 17 (3) : 849-885. doi: 10.3934/cpaa.2018043
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