The Paneitz Curvature Problem on Lower Dimensional Spheres

Abstract

In this paper we prescribe a fourth order conformal invariant 9the Paneitz Curvature) on five and six spheres. Using dynamical and topological methods involving the study of critical points at infinity of the associated variational problem, we prove some existence results.

34 pages

References in corpus (1)

• Prescribing a fourth order conformal invariant on the standard sphere, Part II: blow-up analysis and applications

Cited by in corpus (8)

• On a Paneitz Type Equation in Six Dimensional Domains
• Single Blow up Solutions for a Slightly Subcritical Biharmonic Equation
• On a Biharmonic Equation Involving Nearly Critical Exponent
• Nonexistence of Bounded Energy Solutions for a Fourth Order Equation on Thin Annuli
• Some Existence Results for a Paneitz Type Problem Via the Theory of Critical Points at Infinity
• Existence of Conformal Metrics on Spheres with Prescribed Paneitz Curvature
• On Conformal Paneitz Curvature Equations in Higher Dimensional Spheres
• Blowing up Solutions for a Biharmonic Equation with Critical Nonlinearity