Integral equations on compact CR manifolds (Q2030052)

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Language	Label	Description	Also known as
English	Integral equations on compact CR manifolds	scientific article

Statements

scholarly article

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Integral equations on compact CR manifolds (English)

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Discrete and Continuous Dynamical Systems

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publication date

4 June 2021

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full work available at URL

https://arxiv.org/abs/1902.04966

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zbMATH Keywords

integral equations

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CR Yamabe problem

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sharp Hardy-Littlewood-Sobolev inequalities

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blowup analysis

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CR manifold

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MaRDI profile type

MaRDI publication profile

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On a nonlinear elliptic equation involving the critical sobolev exponent: The effect of the topology of the domain

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Moser-Trudinger and Beckner-Onofri's inequalities on the CR sphere

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Positive solutions of nonlinear elliptic equations involving critical sobolev exponents

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Classification of solutions for an integral equation

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A positive mass theorem in three dimensional Cauchy-Riemann geometry

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Sharp constants for Moser‐Trudinger inequalities on spheres in complex space ℂ<sup><i>n</i></sup>

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Differential geometry and analysis on CR manifolds

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A fundamental solution for a subelliptic operator

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Subelliptic estimates and function spaces on nilpotent Lie groups

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Estimates for the \documentclass{article}\pagestyle{empty}\begin{document}$ \mathop \partial \limits^ - _b $\end{document} complex and analysis on the heisenberg group

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Sharp constants in several inequalities on the Heisenberg group

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The CR Yamabe conjecture. The case \(n=1\)

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CR Yamabe conjecture -- the conformally flat case.

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An extension operator on bounded domains and applications

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An integral type Brezis-Nirenberg problem on the Heisenberg group

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Hardy-Littlewood-Sobolev inequalities on compact Riemannian manifolds and applications

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Hypoelliptic second order differential equations

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The Yamabe problem on CR manifolds

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Extremals for the Sobolev Inequality on the Heisenberg Group and the CR Yamabe Problem

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Intrinsic CR normal coordinates and the CR Yamabe problem

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The Fefferman Metric and Pseudohermitian Invariants

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Psuedo-Einstein Structures on CR Manifolds

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The Yamabe problem

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Remark on some conformally invariant integral equations: the method of moving spheres

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A new characterization of the CR sphere and the sharp eigenvalue estimate for the Kohn Laplacian

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An Obata-type theorem in CR geometry

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Sharp Sobolev inequalities involving boundary terms

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Uniqueness theorems through the method of moving spheres

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Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities

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On a remarkable formula of Jerison and Lee in CR geometry

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Prescribing integral curvature equation.

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.3934/DCDS.2020358

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Sitelinks

Mathematics(1 entry)

mardi Publication:2030052

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