A factorization of the GJMS operators of special Einstein products and applications

Publication date: 20 November 2024

Published in: Journal of the London Mathematical Society. Second Series (Search for Journal in Brave)

Mathematics Subject Classification ID

Maximum principles in context of PDEs (35B50) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Higher-order elliptic equations (35J30) Conformal structures on manifolds (53C18)

Cites Work

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A GJMS construction for 2-tensors and the second variation of the total $Q$-curvature
Explicit formulas for GJMS-operators and $Q$-curvatures
Non-uniqueness results for critical metrics of regularized determinants in four dimensions
A construction of singular solutions for a semilinear elliptic equation using asymptotic analysis
Sharp Sobolev inequalities on the sphere and the Moser-Trudinger inequality
GJMS-type operators on a compact Riemannian manifold: best constants and Coron-type solutions
A strong maximum principle for the Paneitz operator and a non-local flow for the $\mathcal Q$-curvature
A quartic conformally covariant differential operator for arbitrary pseudo-Riemannian manifolds (Summary)
Polyharmonic boundary value problems. Positivity preserving and nonlinear higher order elliptic equations in bounded domains
Ambient metrics for $n$-dimensional $pp$-waves
Conformal deformation of a Riemannian metric to constant scalar curvature
Conformally flat metrics of constant positive scalar curvature on subdomains of the sphere
Equations différentielles non linéaires et problème de Yamabe concernant la courbure scalaire
Conformally invariant powers of the Laplacian, $Q$-curvature, and tractor calculus
Scattering matrix in conformal geometry
Paneitz-type operators and applications
On higher-dimensional singularities for the fractional Yamabe problem: a nonlocal mazzeo-pacard program
Explicit ambient metrics and holonomy
Laplacian operators and $Q$-curvature on conformally Einstein manifolds
On fractional GJMS operators
Ambient metrics with exceptional holonomy
The Ambient Metric (AM-178)
Conformally Invariant Powers of the Laplacian, I: Existence
Conformally Invariant Powers of the Laplacian, II: Nonexistence
Nonuniqueness of Conformal Metrics With Constant Q-curvature
On positive solutions to semilinear conformally invariant equations on locally conformally flat manifolds
Sign of Green's Function of Paneitz Operators and theQCurvature
A SUB-PRODUCT CONSTRUCTION OF POINCARÉ–EINSTEIN METRICS
On Conformally Invariant Differential Operators
The Yamabe problem
Conformally invariant powers of the Laplacian — A complete nonexistence theorem
Infinitely many solutions to the Yamabe problem on noncompact manifolds
Sharp Inequalities, the Functional Determinant, and the Complementary Series
Decomposition of polyharmonic operator and classification of homogeneous stable solutions
Monotonicity Formula and Classification of Stable Solutions to Polyharmonic Lane–Emden Equations
Juhl’s formulae for GJMS operators and $Q$-curvatures
Conformal Structures with Explicit Ambient Metrics and Conformal G 2 Holonomy

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