Estimations uniformes pour l’équation de Yamabe en dimensions 5 et 6

We give some a priori estimates for Yamabe equation on Riemannian manifold in dimensions 5 and 6. In dimension 5 we present an inequality of type sup×inf. In dimension 6, we have an L∞loc estimate if we assume that the infima of the solutions are uniformly bounded below by some positive constant. © 2006 Elsevier Inc. All rights reserved