Q-Curvature on a Class of Manifolds with Dimension at Least 5
Author(s): Hang, Fengbo; Yang, Paul C.
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http://arks.princeton.edu/ark:/88435/pr1241b| Abstract: | For a smooth compact Riemannian manifold with positive Yamabe invariant, positive Q-curvature, and dimension at least 5, we prove the existence of a conformal metric with constant Q-curvature. Our approach is based on the study of an extremal problem for a new functional involving the Paneitz operator. (C) 2016 Wiley Periodicals, Inc. |
| Publication Date: | Aug-2016 |
| Electronic Publication Date: | 3-Nov-2015 |
| Citation: | Hang, Fengbo, Yang, Paul C. (2016). Q-Curvature on a Class of Manifolds with Dimension at Least 5. COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 69 (1452 - 1491). doi:10.1002/cpa.21623 |
| DOI: | doi:10.1002/cpa.21623 |
| ISSN: | 0010-3640 |
| EISSN: | 1097-0312 |
| Pages: | 1452 - 1491 |
| Type of Material: | Journal Article |
| Journal/Proceeding Title: | COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS |
| Version: | Author's manuscript |
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