The prescribed \(Q\)-curvature flow for arbitrary even dimension in a critical case (Q6189389)

scientific article; zbMATH DE number 7801744

Language	Label	Description	Also known as
English	The prescribed \(Q\)-curvature flow for arbitrary even dimension in a critical case	scientific article; zbMATH DE number 7801744

Statements

instance of

scholarly article

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title

The prescribed \(Q\)-curvature flow for arbitrary even dimension in a critical case (English)

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arXiv ID

2106.03137

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DOI

10.1016/j.aim.2023.109478

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Advances in Mathematics

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publication date

8 February 2024

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full work available at URL

https://arxiv.org/abs/2106.03137

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Mathematics Subject Classification ID

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prescribed \(Q\)-curvature flow

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GJMS operator

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MaRDI profile type

MaRDI publication profile

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cites work

Q4764211

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Estimates and extremals for zeta function determinants on four-manifolds

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Global existence and convergence for a higher order flow in conformal geometry

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Convergence of the Yamabe flow for arbitrary initial energy

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Convergence of the \(Q\)-curvature flow on \(S^{4}\)

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The Existence of Generalized Isothermal Coordinates for Higher Dimensional Riemannian Manifolds

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A mean field type flow. I: compactness of solutions to a perturbed mean field type equation

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A mean field type flow. II: Existence and convergence

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Extremal metrics of zeta function determinants on 4-manifolds

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Sharp estimates for solutions of multi‐bubbles in compact Riemann surfaces

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Topological degree for a mean field equation on Riemann surfaces

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The differential equation \(\Delta u=8\pi-8\pi he^u\) on a compact Riemann surface

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Bubbling phenomena for fourth-order four-dimensional PDEs with exponential growth

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Sharp borderline Sobolev inequalities on compact Riemannian manifolds

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Compactness properties for geometric fourth order elliptic equations with application to the \(Q\)-curvature flow

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The principal eigenvalue of a conformally invariant differential operator, with an application to semilinear elliptic PDE

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Conformal normal coordinates

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Conformally Invariant Powers of the Laplacian, I: Existence

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\(Q\)-curvature flow on \(S^n\)

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The \(Q\)-curvature on a 4-dimensional Riemannian manifold \((M,g)\) with \(\int_M QdV_g = 8\pi^2\)

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The convergence of the mean field type flow at a critical case

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Q2745442

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A classification of solutions of a conformally invariant fourth order equation in \(\mathbb{R}^n\)

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Q3509909

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Compactness of solutions to some geometric fourth-order equations

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\(Q\)-curvature flow on \(S^4\)

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Concentration-compactness phenomena in the higher order Liouville's equation

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Classification of solutions to the higher order Liouville's equation on \({\mathbb{R}^{2m}}\)

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Sharp Estimates for Bubbling Solutions to Some Fourth-Order Geometric Equations

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Topological methods for the resonant \(Q\)-curvature problem in arbitrary even dimension

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Global existence and convergence of a flow to Kazdan-Warner equation with non-negative prescribed function

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A flow approach to Nirenberg's problem

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Classification of solutions of higher order conformally invariant equations

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Sitelinks

Mathematics(1 entry)

mardi Publication:6189389