Compactness of conformal metrics with constant \(Q\)-curvature. I
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Publication:1721940
DOI10.1016/j.aim.2019.01.020zbMath1484.53075arXiv1506.00739OpenAlexW2962810867WikidataQ128575533 ScholiaQ128575533MaRDI QIDQ1721940
Publication date: 13 February 2019
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1506.00739
Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Higher-order elliptic equations (35J30)
Related Items (15)
A note on prescribed Q-curvature ⋮ The Nirenberg problem and its generalizations: a unified approach ⋮ A non-compactness result on the fractional Yamabe problem in large dimensions ⋮ Complete metrics with constant fractional higher order \(Q\)-curvature on the punctured sphere ⋮ Compactness and existence results of the prescribing fractional \(Q\)-curvature problem on \(\mathbb{S}^n\) ⋮ Improved Beckner's inequality for axially symmetric functions on \(\mathbb{S}^4\) ⋮ Bubbling solutions of fourth order mean field equations on \(\mathbb{S}^4\) ⋮ Compactness of conformal metrics with constant \(Q\)-curvature. I ⋮ Compactness of scalar-flat conformal metrics on low-dimensional manifolds with constant mean curvature on boundary ⋮ On a conformally invariant integral equation involving Poisson kernel ⋮ A Paneitz-Branson type equation with Neumann boundary conditions ⋮ A compactness theorem for the fractional Yamabe problem. I: The nonumbilic conformal infinity ⋮ A compactness theorem on Branson's \(Q\)-curvature equation ⋮ Improved Beckner's inequality for axially symmetric functions on \(\mathbb{S}^n\) ⋮ The effect of pinching conditions in prescribing \(Q\)-curvature on standard spheres
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