A sufficient condition for a branched surface to fully carry a lamination

We give a sufficient condition for a branched surface in a 3 dimensional manifold to fully carry a lamination, giving a piece of answer to a classical question of D. Gabai.Comment: This is a fully new version, whose main result has been correcte

Asymptotic Estimates for Perturbed Scaiar Curvature Equation

We have an idea on the influence of a nonlinear term (tending to 0) on the prescribed scalar curvature equation to have an uniform estimate.Comment: 7 page

Sup-Inf inequality on manifold of dimension 3

We prove an a priori estimate of type sup*inf on Riemannian manifold of dimension 3 (not necessarily compact).Comment: 9 page

sup+inf for Riemannian surfaces and sup*inf for for bounded domains of R^n, n>2

This paper is in relation with a Note of "Comptes Rendus de l'Academie des Sciences" 2005. We have an idea about a lower bounds of sup+inf (2 dimensions) and sup*inf (dimensions >2).Comment: 15 page