Multiplicity results for the prescribed scalar curvature on low spheres

DOI10.2422/2036-2145.2008.4.02zbMath1213.58009OpenAlexW1580181943MaRDI QIDQ3396219

Mohamed Ben Ayed, Mohameden Ould Ahmedou

Publication date: 16 September 2009

Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2422/2036-2145.2008.4.02

zbMATH Keywords

spheresprescribed scalar curvaturecritical points at infinityMorse inequalities at infinitymultiplicity of conformal metrics

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear boundary value problems for linear elliptic equations (35J65) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items

Prescribing Morse scalar curvatures: critical points at infinity ⋮ The impact of the flatness condition on the prescribed webster scalar curvature ⋮ Conformal metrics of prescribed scalar curvature on 4-manifolds: the degree zero case ⋮ Methods of the theory of critical points at infinity on Cauchy Riemann manifolds ⋮ Conformally prescribed scalar curvature on orbifolds ⋮ On the Chen-Lin conjecture for the prescribed scalar curvature problem ⋮ Multiplicity results for the prescribed webster scalar curvature on the three CR sphere under ``flatness condition ⋮ Bahri-Coron type theorem for the scalar curvature problem on high dimensional spheres ⋮ Optimal control in prescribing Webster scalar curvatures on 3-dimensional pseudo Hermitian manifolds ⋮ The {\(\beta\)}-flatness condition in CR spheres ⋮ A scalar curvature flow in low dimensions ⋮ Prescribing Webster scalar curvature on CR manifolds of negative conformal invariants