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Concentration phenomena to a higher order Liouville equation (Q786070)

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Language	Label	Description	Also known as
English	Concentration phenomena to a higher order Liouville equation	scientific article

Statements

scholarly article

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Concentration phenomena to a higher order Liouville equation (English)

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Calculus of Variations and Partial Differential Equations

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publication date

12 August 2020

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full work available at URL

https://arxiv.org/abs/2001.08334

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zbMATH Keywords

higher order Liouville equation

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concentration

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blow-up

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quantization

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\(Q\)-curvature

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MaRDI profile type

MaRDI publication profile

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Concentration phenomena for Liouville's equation in dimension four

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

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

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Local and Nonlocal Singular Liouville Equations in Euclidean Spaces

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Conformal metrics on \(\mathbb{R}^{2m}\) with constant \(Q\)-curvature, prescribed volume and asymptotic behavior

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

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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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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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Constant \(Q\)-curvature metrics in arbitrary dimension

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

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

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Nonradial solutions for a conformally invariant fourth order equation in \(\mathbb {R}^4\)

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Uniqueness and non-existence theorems for conformally invariant equations

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Identifiers

zbMATH Open document ID

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10.1007/s00526-020-01788-4

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:786070

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