On the prescribed \(Q\)-curvature problem on \(S^n\)

DOI10.1016/j.crma.2010.03.018zbMath1193.53101OpenAlexW2031753541MaRDI QIDQ984681

Afef Rigane, Hichem Chtioui

Publication date: 20 July 2010

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2010.03.018

Mathematics Subject Classification ID

Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (3)

Existence of conformal metrics with prescribed Q-curvature ⋮ Topological tools for the prescribed scalar curvature problem on \(S^n\) ⋮ On the prescribed Q-curvature problem on \(S^n\)

Cites Work

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• The scalar-curvature problem on the standard three-dimensional sphere
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• A classification of solutions of a conformally invariant fourth order equation in \(\mathbb{R}^n\)
• Paneitz-type operators and applications
• On the prescribed scalar curvature problem on 4-manifolds
• Prescribing scalar curvature on \(\mathbb{S}^ n\) and related problems. I
• PRESCRIBING A FOURTH ORDER CONFORMAL INVARIANT ON THE STANDARD SPHERE — PART I: A PERTURBATION RESULT
• Differential operators cononically associated to a conformal structure.
• Existence of conformal metrics on \(S^ n\) with prescribed fourth-order invariant.

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