Local and Nonlocal Singular Liouville Equations in Euclidean Spaces (Q5068184)

scientific article; zbMATH DE number 7503559

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English	Local and Nonlocal Singular Liouville Equations in Euclidean Spaces	scientific article; zbMATH DE number 7503559

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instance of

scholarly article

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title

Local and Nonlocal Singular Liouville Equations in Euclidean Spaces (English)

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5 April 2022

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full work available at URL

https://arxiv.org/abs/1808.03624

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zbMATH Keywords

Q-curvature

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fractional Laplacian

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conformal geometry

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GJMS-operator

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MaRDI profile type

Publication

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cites work

Concentration phenomena for Liouville's equation in dimension four

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On the best pinching constant of conformal metrics on \(\mathbb S^2\) with one and two conical singularities

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Sharp Inequalities, the Functional Determinant, and the Complementary Series

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A note on a class of higher order conformally covariant equations

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Rotational symmetry of solutions of some nonlinear problems in statistical mechanics and in geometry

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Qualitative properties of solutions to some nonlinear elliptic equations in \(\mathbb{R}^2\)

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The nonlocal Liouville-type equation in \(\mathbb {R}\) and conformal immersions of the disk with boundary singularities

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Blow-up analysis of a nonlocal Liouville-type equation

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Ambient metric construction of \(Q\)-curvature in conformal and CR geometries

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The Liouville equation in a half-plane

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An Introduction to the Regularity Theory for Elliptic Systems, Harmonic Maps and Minimal Graphs

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Elliptic partial differential equations of second order

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ASYMPTOTIC PROPERTIES OF POLYNOMIALS AND ALGEBRAIC FUNCTIONS OF SEVERAL VARIABLES

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

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Existence of entire solutions to a fractional Liouville equation in \(\mathbb{R}^n\)

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

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

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Metrics of constant curvature on a Riemann surface with two corners on the boundary

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

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

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

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On a class of elliptic problems in \(\mathbb{R}^2\): Symmetry and uniqueness results

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Prescribing Curvature on Compact Surfaces with Conical Singularities

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Classification of solutions of higher order conformally invariant equations

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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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Classification of conformal metrics on \(\mathbb R^2_+\) with constant Gauss curvature and geodesic curvature on the boundary under various integral finiteness assumptions

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published in

IMRN. International Mathematics Research Notices

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Identifiers

zbMATH Open document ID

1489.35139

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5068184