Bounded stability for strongly coupled critical elliptic systems below the geometric threshold of the conformal Laplacian

We prove bounded stability for strongly coupled critical elliptic systems in the inhomogeneous context of a compact Riemannian manifold when the potential of the operator is less, in the sense of bilinear forms, than the geometric threshold potential of the conformal Laplacian. © 2009 Elsevier Inc. All rights reserved