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The axisymmetric \(\sigma_k\)-Nirenberg problem - MaRDI portal

The axisymmetric \(\sigma_k\)-Nirenberg problem (Q1982528)

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Language	Label	Description	Also known as
English	The axisymmetric \(\sigma_k\)-Nirenberg problem	scientific article

Statements

scholarly article

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The axisymmetric \(\sigma_k\)-Nirenberg problem (English)

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Journal of Functional Analysis

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publication date

14 September 2021

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full work available at URL

https://arxiv.org/abs/2106.04504

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zbMATH Keywords

\(\sigma_k\)-curvature

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compactness and non-compactness

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existence and non-existence

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axisymmetry

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MaRDI profile type

MaRDI publication profile

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Non-existence and symmetry of solutions to the scalar curvature equation

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An ODE approach to the equation \(\Delta u + Ku^{{n+2}\over{n-2}}=0\) in \(\mathbb{R}^ n\)

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Positive solutions of nonlinear elliptic equations involving critical sobolev exponents

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Some Remarks on Singular Solutions of Nonlinear Elliptic Equations III: Viscosity Solutions Including Parabolic Operators

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The Dirichlet problem for nonlinear second order elliptic equations. III: Functions of the eigenvalues of the Hessian

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On the prescribing \(\sigma_2\) curvature equation on \(\mathbb S^4\)

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Estimate of the conformal scalar curvature equation via the method of moving planes. II

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Blowing up with infinite energy of conformal metrics on S<sup>n</sup>

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On axisymmetric solutions of the conformal scalar curvature equation on \(S^n\)

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A Kazdan-Warner type identity for the \(\sigma_{k}\) curvature

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Symmetry and asymmetry: the method of moving spheres

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On some conformally invariant fully nonlinear equations

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On some conformally invariant fully nonlinear equations. II: Liouville, Harnack and Yamabe

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Degree Theory for Second Order Nonlinear Elliptic Operators and its Applications

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Prescribing scalar curvature on \(\mathbb{S}^ n\) and related problems. I

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Prescribing scalar curvature on Sn and related problems, part II: Existence and compactness

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Degenerate conformally invariant fully nonlinear elliptic equations

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Local gradient estimates of solutions to some conformally invariant fully nonlinear equations

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Harnack Inequalities and Bôcher-Type Theorems for Conformally Invariant, Fully Nonlinear Degenerate Elliptic Equations

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Conformal geometry, contact geometry, and the calculus of variations

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A priori estimates and existence for a class of fully nonlinear elliptic equations in conformal geometry

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Identifiers

zbMATH Open document ID

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10.1016/j.jfa.2021.109198

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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:1982528

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