A Liouville type result for fractional GJMS equations on higher dimensional spheres (Q6658126)

scientific article; zbMATH DE number 7962862

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English	A Liouville type result for fractional GJMS equations on higher dimensional spheres	scientific article; zbMATH DE number 7962862

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instance of

scholarly article

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title

A Liouville type result for fractional GJMS equations on higher dimensional spheres (English)

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Calculus of Variations and Partial Differential Equations

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publication date

8 January 2025

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zbMATH Keywords

Graham-Jenne-Mason-Sparling (GJMS) differential operators

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MaRDI profile type

Publication

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cites work

Removability of singularities and superharmonicity for some fractional Laplacian equations

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Stationary spherically symmetric models in stellar dynamics

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Representation formulae for solutions to some classes of higher order systems and related Liouville theorems

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The Fractional Laplacian

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Sharp subcritical Sobolev inequalities and uniqueness of nonnegative solutions to high-order Lane-Emden equations on $\mathbb{S}^n$

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A direct method of moving spheres on fractional order equations

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The asymptotic expansion of a ratio of gamma functions

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Reverse conformally invariant Sobolev inequalities on the sphere

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Global and local behavior of positive solutions of nonlinear elliptic equations

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Recent Progress on the Fractional Laplacian in Conformal Geometry

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Conformally Invariant Powers of the Laplacian, I: Existence

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A Perturbation Approach for Paneitz Energy on Standard Three Sphere

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On the Hang-Yang conjecture for GJMS equations on $\mathbb S^n$

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Symmetry and asymmetry: the method of moving spheres

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Constant 𝑄-curvature metrics with a singularity

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On the positive solutions of the Matukuma equation

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

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Analysis.

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The concentration-compactness principle in the calculus of variations. The limit case. I

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

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GJMS-type operators on a compact Riemannian manifold: best constants and Coron-type solutions

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Fractional Laplacians on the sphere, the Minakshisundaram zeta function and semigroups

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Existence and non-existence results for the higher order Hardy-Hénon equations revisited

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Exhaustive existence and non-existence results for some prototype polyharmonic equations in the whole space

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Classification of solutions of higher order conformally invariant equations

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A Liouville-Type Theorem of the Linearly Perturbed Paneitz Equation on <i>S</i>3

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Identifiers

Mathematics Subject Classification ID

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10.1007/S00526-024-02868-5

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Sitelinks

Mathematics(1 entry)

mardi Publication:6658126