Elliptic equation with critical and negative exponents involving the GJMS operator on compact Riemannian manifolds

DOI10.1016/J.GEOMPHYS.2019.02.003zbMath1417.58028OpenAlexW2915881679WikidataQ115352833 ScholiaQ115352833MaRDI QIDQ2422364

Ali Zouaoui, Mohammed Benalili

Publication date: 19 June 2019

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2019.02.003

zbMATH Keywords

negative exponentscritical Sobolev growthGJMS (Graham-Jenne-Mason-Sparling) operator

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Partial differential equations on manifolds; differential operators (58J99)

Related Items (2)

Unnamed Item ⋮ Multiple solutions to polyharmonic elliptic problem involving GJMS operator on compact manifolds

Cites Work

• Unnamed Item
• Existence results for the Einstein-scalar field Lichnerowicz equations on compact Riemannian manifolds
• On singular \(Q\)-curvature type equations
• GJMS-type operators on a compact Riemannian manifold: best constants and Coron-type solutions
• A variational analysis of Einstein-scalar field Lichnerowicz equations on compact Riemannian manifolds
• A quartic conformally covariant differential operator for arbitrary pseudo-Riemannian manifolds (Summary)
• A Sobolev inequality with remainder term and critical equations on domains with topology for the polyharmonic operator
• On a fourth order Lichnerowicz type equation involving the Paneitz-Branson operator
• Effective multiplicity for the Einstein-scalar field Lichnerowicz equation
• Existence of conformal metrics with constant \(Q\)-curvature
• The Einstein-scalar field constraint system in the positive case
• Constant \(Q\)-curvature metrics in arbitrary dimension
• Admissible $Q-$curvatures under isometries for the conformal GJMS operators
• Conformally Invariant Powers of the Laplacian, I: Existence
• The Lichnerowicz equation in the closed case of the Einstein-Maxwell theory
• Coercivity and Struwe's compactness for Paneitz type operators with constant coefficients

This page was built for publication: Elliptic equation with critical and negative exponents involving the GJMS operator on compact Riemannian manifolds