Positive mass theorem for the Paneitz-Branson operator

DOI10.1007/s00526-009-0241-6zbMath1180.53040arXiv0807.2432OpenAlexW3099502487MaRDI QIDQ1047933

Emmanuel Humbert, Simon Raulot

Publication date: 8 January 2010

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0807.2432

zbMATH Keywords

Green functionPaneitz-Branson operator

Mathematics Subject Classification ID

Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Higher-order elliptic equations (35J30)

Related Items

Q-Curvature on a Class of Manifolds with Dimension at Least 5, A note on prescribed Q-curvature, Paneitz operator for metrics near \(S^{3}\), Asymptotic expansions and conformal covariance of the mass of conformal differential operators, Existence theorems of the fractional Yamabe problem, The trace and the mass of subcritical GJMS operators, Compactness of conformal metrics with constant \(Q\)-curvature. I, QCurvature on a Class of 3-Manifolds, A strong maximum principle for the Paneitz operator and a non-local flow for the \(\mathcal Q\)-curvature, A compactness theorem on Branson's \(Q\)-curvature equation, 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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