Existence of conformal metrics with prescribed Q-curvature on manifolds

DOI10.1016/j.difgeo.2022.101950OpenAlexW4306251886WikidataQ115466597 ScholiaQ115466597MaRDI QIDQ2099439

Azeb Alghanemi, Mohamed Gdarat, Hichem Chtioui

Publication date: 23 November 2022

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2022.101950

zbMATH Keywords

nonlinear PDEconformal geometrycritical points at infinityQ-curvatures

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Higher-order elliptic equations (35J30) Conformal structures on manifolds (53C18)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Existence of conformal metrics with prescribed Q-curvature
• Conformal metrics with prescribed \(Q\)-curvature on \(S^{n}\)
• On the prescribed Q-curvature problem on \(S^n\)
• A strong maximum principle for the Paneitz operator and a non-local flow for the \(\mathcal Q\)-curvature
• Prescribed \(Q\)-curvature flow on closed manifolds of even dimension
• A global compactness result for elliptic boundary value problems involving limiting nonlinearities
• Positive mass theorem for the Paneitz-Branson operator
• Group representations arising from Lorentz conformal geometry
• Periodic solutions of Hamiltonian systems of 3-body type
• Paneitz-type operators and applications
• Compactness properties for geometric fourth order elliptic equations with application to the \(Q\)-curvature flow
• On the prescribed scalar curvature problem on 4-manifolds
• An invariant for Yamabe-type flows with applications to scalar-curvature problems in high dimension
• Prescribing \( Q \)-curvature on \( S^n \) in the presence of symmetry
• Existence of conformal metrics with constant \(Q\)-curvature
• \(Q\)-curvature flow on 4-manifolds
• On the prescribed \(Q\)-curvature problem in Riemannian manifolds
• The Paneitz curvature problem on \(S^n\)
• QCurvature on a Class of 3-Manifolds
• Q-Curvature on a Class of Manifolds with Dimension at Least 5
• Sign of Green's Function of Paneitz Operators and theQCurvature
• The Yamabe problem
• On a nonlinear elliptic equation involving the critical sobolev exponent: The effect of the topology of the domain
• Sun-Yung Alice Chang and Geometric Analysis
• Existence of conformal metrics on \(S^ n\) with prescribed fourth-order invariant.

This page was built for publication: Existence of conformal metrics with prescribed Q-curvature on manifolds