Sign of Green's Function of Paneitz Operators and theQCurvature

DOI10.1093/IMRN/RNU247zbMath1327.53042arXiv1411.3924OpenAlexW2004233041MaRDI QIDQ3450231

Feng Bo Hang, Paul C. Yang

Publication date: 3 November 2015

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.3924

zbMATH Keywords

conformal class\(Q\) curvatureconformal Laplacian operator

Mathematics Subject Classification ID

Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Green's functions for elliptic equations (35J08)

Related Items (18)

Q-Curvature on a Class of Manifolds with Dimension at Least 5 ⋮ Aubin type almost sharp Moser-Trudinger inequality revisited ⋮ The Nirenberg problem and its generalizations: a unified approach ⋮ Paneitz operator for metrics near \(S^{3}\) ⋮ Existence theorems of the fractional Yamabe problem ⋮ Quasiconformal flows on non-conformally flat spheres ⋮ An integral formula for the $Q$-prime curvature in 3-dimensional CR geometry ⋮ The first GJMS invariant ⋮ Deformations of \(Q\)-curvature. I ⋮ Comparison theorems for GJMS operators ⋮ On a class of non-local operators in conformal geometry ⋮ QCurvature on a Class of 3-Manifolds ⋮ GJMS-type operators on a compact Riemannian manifold: best constants and Coron-type solutions ⋮ On Fractional GJMS Operators ⋮ A strong maximum principle for the Paneitz operator and a non-local flow for the \(\mathcal Q\)-curvature ⋮ Existence of conformal metrics with prescribed Q-curvature on manifolds ⋮ Positive energy theorems in fourth-order gravity ⋮ A positive energy theorem for fourth-order gravity

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