On a fourth order equation in 3-D

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

This implies that we can suppose first that the metric is Euclidean on a small neighbourhood of a point, construct a conformal deformation of the Euclidean metric, and then show

We prove that the first positive eigenvalue, normalized by the volume, of the sub-Laplacian associated with a strictly pseudoconvex pseudo-Hermitian structure θ on the CR sphere S

Let M be a compact connected manifold of dimension n endowed with a conformal class C of Riemannian metrics of volume one.. Colbois : Universit´e de Neuchˆatel, Laboratoire

In section 4 we show that the problem is equivalent to a certain estimate for integral means of derivatives of conformal maps, and use this connection to prove (1.5) and to

We also prove that the Pontrjagin ring of the normal bundle can be expressed in terms of the conformal curvature.. This provides an alternative proof for the

(i) ψ ◦ ϕ −1 is operator convex and ψ −1 is increasing convex,.. We will give a complementary result to Theorem 2.3. In the following theorem we give a general result.. opera-

We also show that, for a certain class of potential, this bound can not be satisfied which implies the absence of strictly positive eigenvalues for the Schr¨odinger operator..