Gluing metrics with prescribed $Q$-curvature and different asymptotic behaviour in high dimension (Q5161590)

scientific article; zbMATH DE number 7417780

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English	Gluing metrics with prescribed $Q$-curvature and different asymptotic behaviour in high dimension	scientific article; zbMATH DE number 7417780

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instance of

scholarly article

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title

Gluing metrics with prescribed $Q$-curvature and different asymptotic behaviour in high dimension (English)

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ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE

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publication date

1 November 2021

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full work available at URL

https://arxiv.org/abs/1804.09261

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zbMATH Keywords

$Q$-curvature equation

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blow-up

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radially symmetric solutions

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a priori estimates

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MaRDI profile type

MaRDI publication profile

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cites work

Concentration phenomena for Liouville's equation in dimension four

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Singular limits for a 4-dimensional semilinear elliptic problem with exponential nonlinearity

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Construction of singular limits for a semilinear elliptic equation in dimension 2

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Uniform estimates and blow–up behavior for solutions of −δ(u)=v(x)e<sup>u</sup>in two dimensions

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A note on a class of higher order conformally covariant equations

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Singular limits for the bi-Laplacian operator with exponential nonlinearity in $\mathbb R^4$

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Singular limits in Liouville-type equations

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

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On the existence of blowing-up solutions for a mean field equation

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Conformal metrics in $\mathbb {R}^{2m}$ with constant $Q$-curvature and arbitrary volume

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Conformally Euclidean metrics on $\mathbb{R}^n$ with arbitrary total Q-curvature

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Structure of conformal metrics on $\mathbb{R}^n$ with constant $Q$-curvature.

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Large blow-up sets for the prescribed Q-curvature equation in the Euclidean space

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Existence and asymptotics for solutions of a non-local Q-curvature equation in dimension three

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

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Compactness of solutions to some geometric fourth-order equations

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Critical points of the Moser-Trudinger functional on a disk

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The Moser-Trudinger inequality and its extremals on a disk via energy estimates

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

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

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QUANTIZATION FOR THE PRESCRIBED Q-CURVATURE EQUATION ON OPEN DOMAINS

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Conformal metrics on $\mathbb R^{2m}$ with constant $Q$-curvature and large volume

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Asymptotics and Quantization for a Mean-Field Equation of Higher Order

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Singular limits in higher order Liouville-type equations

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Constant $Q$-curvature metrics in arbitrary dimension

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The role of the Green's function in a nonlinear elliptic equation involving the critical Sobolev exponent

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Concentration phenomena for a fourth-order equation with exponential growth: the radial case

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Quantization effects for a fourth-order equation of exponential growth in dimension $4$

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Asymptotic Profile for a Fourth Order PDE with Critical Exponential Growth in Dimension Four

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Asymptotic behavior of a fourth order mean field equation with Dirichlet boundary condition

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Prescribing $Q$-curvature problem on $S^n$

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Uniqueness and non-existence theorems for conformally invariant equations

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Identifiers

zbMATH Open document ID

1479.35467

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DOI

10.2422/2036-2145.201905_001

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5161590