A compactness result for a Gelfand-Liouville system with Lipschitz condition

We give a quantization analysis to an elliptic system (Gelfand-Liouville type system) with Dirichlet condition. An application, we have a com-pactness result for an elliptic system with Lipschitz condition

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

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