Parallel immersions into spaces of constant curvature and conformal transformations.
Prescribing a fourth order conformal invariant on the standard sphere, part II : blow up analysis and applications
In this paper we perform a fine blow up analysis for a fourth order elliptic equation involving critical Sobolev exponent, related to the prescription of some conformal invariant on the standard sphere . We derive from this analysis some a priori estimates in dimension and . On these a priori estimates, combined with the perturbation result in the first part of the present work, allow us to obtain some existence result using a continuity method. On we prove the existence of at least one...
Prescribing mean curvature: existence and uniqueness problems.