\(Q\)-curvature problem on \(S^{n}\) under flatness condition: the case \(\beta=n\)

DOI10.1186/s13660-015-0905-zzbMath1332.53049OpenAlexW2184272553WikidataQ59430710 ScholiaQ59430710MaRDI QIDQ896522

Aymen Bensouf, Hichem Chtioui, Mohammed Ali Alghamdi

Publication date: 9 December 2015

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-015-0905-z

zbMATH Keywords

critical exponent\(Q\)-curvaturecritical points at infinitylack of compactness

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)

Related Items

Conformal flat metrics with prescribed mean curvature on the boundary, Prescribing the \(Q\)-curvature problem on 6-dimensional manifolds, The Paneitz curvature problem on \(S^n\), On the boundary mean curvature equation on \(\mathbb{B}^{n}\)

Cites Work

• Existence of conformal metrics with prescribed Q-curvature
• Conformal metrics with prescribed \(Q\)-curvature on \(S^{n}\)
• On the prescribed Q-curvature problem on \(S^n\)
• The scalar-curvature problem on the standard three-dimensional sphere
• Paneitz-type operators and applications
• An invariant for Yamabe-type flows with applications to scalar-curvature problems in high dimension
• Existence of conformal metrics with constant \(Q\)-curvature
• Existence of conformal metrics on \(S^ n\) with prescribed fourth-order invariant.
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