\(Q\)-curvature flow on \(S^4\)
From MaRDI portal
Publication:2497076
DOI10.4310/jdg/1146680511zbMath1099.53034OpenAlexW1512533276WikidataQ115197015 ScholiaQ115197015MaRDI QIDQ2497076
Andrea Malchiodi, Michael Struwe
Publication date: 1 August 2006
Published in: Journal of Differential Geometry (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4310/jdg/1146680511
Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)
Related Items (41)
Prescribing Morse scalar curvatures: critical points at infinity ⋮ Conformal metrics on the unit ball with prescribed mean curvature ⋮ Prescribing \(Q\)-curvature problem on \(S^n\) ⋮ Normal conformal metrics on \(\mathbb{R}^4\) with singular \(Q\)-curvature having power-like growth ⋮ Quantization for a fourth order equation with critical exponential growth ⋮ Concentration phenomena for a fourth-order equation with exponential growth: the radial case ⋮ Classification and a priori estimates for the singular prescribing \(Q\)-curvature equation on 4-manifold ⋮ The Nirenberg problem and its generalizations: a unified approach ⋮ On the prescribed \(Q\)-curvature problem in Riemannian manifolds ⋮ ``Large conformal metrics of prescribed \(Q\)-curvature in the negative case ⋮ The Paneitz curvature problem on \(S^n\) ⋮ Topological methods for the resonant \(Q\)-curvature problem in arbitrary even dimension ⋮ Compactness properties for geometric fourth order elliptic equations with application to the \(Q\)-curvature flow ⋮ Prescribed \(Q\)-curvature flow on \(S^n\) ⋮ Existence and compactness of conformal metrics on the plane with unbounded and sign-changing Gaussian curvature ⋮ Bubbling solutions of fourth order mean field equations on \(\mathbb{S}^4\) ⋮ Optimal control for the Paneitz obstacle problem ⋮ Prescribing Morse Scalar Curvatures: Pinching and Morse Theory ⋮ The prescribed \(Q\)-curvature flow for arbitrary even dimension in a critical case ⋮ On the perturbed \(Q\)-curvature problem on \(\mathbb S^4\) ⋮ The \(Q\)-curvature on a 4-dimensional Riemannian manifold \((M,g)\) with \(\int_M QdV_g = 8\pi^2\) ⋮ Conformal metrics on \(\mathbb R^{2m}\) with constant \(Q\)-curvature and large volume ⋮ The Webster scalar curvature flow on CR sphere. II ⋮ The scalar curvature flow on \(S ^{n }\)-perturbation theorem revisited ⋮ Q-curvature prescription; forbidden functions and the GJMS null space ⋮ Singular limits for the bi-Laplacian operator with exponential nonlinearity in \(\mathbb R^4\) ⋮ Prescribed \(Q\)-curvature problem on closed 4-Riemannian manifolds in the null case ⋮ Q-curvature flow with indefinite nonlinearity ⋮ \(Q\)-curvature flow for GJMS operators with non-trivial kernel ⋮ RESULTS RELATED TO PRESCRIBING PSEUDO-HERMITIAN SCALAR CURVATURE ⋮ \(Q\)-curvature flow on the standard sphere of even dimension ⋮ Existence and asymptotics for solutions of a non-local Q-curvature equation in dimension three ⋮ Concentration phenomena for Liouville's equation in dimension four ⋮ Prescribing \( Q \)-curvature on \( S^n \) in the presence of symmetry ⋮ Prescribed \(Q\)-curvature on manifolds of even dimension ⋮ On Gaussian curvature flow ⋮ Concentration-compactness phenomena in the higher order Liouville's equation ⋮ Prescribed \(Q\)-curvature flow on closed manifolds of even dimension ⋮ The profile of bubbling solutions of a class of fourth order geometric equations on 4-manifolds ⋮ A flow approach to Nirenberg's problem ⋮ Algebraic topological methods for the supercritical \(Q\)-curvature problem
This page was built for publication: \(Q\)-curvature flow on \(S^4\)
