Conformal metrics with prescribed \(Q\)-curvature on \(S^{n}\)

DOI10.1007/s00526-010-0372-9zbMath1218.53041OpenAlexW2080968114WikidataQ126145837 ScholiaQ126145837MaRDI QIDQ543391

Aymen Bensouf, Hichem Chtioui

Publication date: 17 June 2011

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

Full work available at URL: https://doi.org/10.1007/s00526-010-0372-9

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (16)

On a fractional Nirenberg type problem on the n-dimensional sphere ⋮ Conformal flat metrics with prescribed mean curvature on the boundary ⋮ Prescribing the \(Q\)-curvature problem on 6-dimensional manifolds ⋮ Existence of conformal metrics with prescribed Q-curvature ⋮ The Paneitz curvature problem on \(S^n\) ⋮ Results of prescribing \(Q\)-curvature on \(S^{n}\) ⋮ Q-curvature type problem on bounded domains of R n ⋮ \(Q\)-curvature problem on \(S^{n}\) under flatness condition: the case \(\beta=n\) ⋮ On a Nirenberg-type problem involving the square root of the Laplacian ⋮ Topological arguments for an elliptic equation involving the fractional Laplacian ⋮ Unnamed Item ⋮ A perturbation result for a critical elliptic equation with zero Dirichlet boundary condition ⋮ On a critical fourth order PDE with Navier boundary condition ⋮ The effect of pinching conditions in prescribing \(Q\)-curvature on standard spheres ⋮ On the relation between conformally invariant operators and some geometric tensors ⋮ Existence of conformal metrics with prescribed Q-curvature on manifolds

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