Q‐Curvature on a Class of Manifolds with Dimension at Least 5
By Fengbo Hang, Paul Yang. 2014
81 citations recorded by the source corpus.
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.© 2016 Wiley Periodicals, Inc.
View Paper: https://www.semanticscholar.org/paper/1b44b7e8105497424d95458c8302d076963305ff
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- Tianling Jin
- Jingang Xiong
- Guozhen Lu
- Qiaohua Yang
- Wenxiong CHEN *
- Yanyan Li
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- Giuseppe Mingione
Citations in the corpus
- Paneitz operators on hyperbolic spaces and high order Hardy-Sobolev-Maz'ya inequalities on half spaces (2019, methodology): “[37] J. Li, G. Lu, and Q. Yang, Fourier analysis and optimal Hardy-Adams inequalities on hyperbolic spaces of any even dimension, Adv.”
- Asymptotic symmetry and local behavior of solutions of higher order conformally invariant equations with isolated singularities (2019, background): “See also Gursky- Malchoidi [22] and Hang-Yang [24] for the recent progresses on the fourth order Q-curvature problem on Riemannian manifolds, where the positivity of the scalar curvature and the positivity of the Yamabe invariant are assumed, respectively.”