%0 Journal Article
%T Blow-up phenomena for scalar-flat metrics on manifolds with boundary
%A Sergio Almaraz
%J Mathematics
%D 2010
%I arXiv
%R 10.1016/j.jde.2011.04.013
%X Let (M,g) be a compact n-dimensional Riemannian manifold with boundary. This article is concerned with the set of scalar-flat metrics on M which are in the conformal class of g and have the boundary as a constant mean curvature hypersurface. We construct examples of metrics on the unit ball, in dimensions n>=25, for which this set is noncompact. These manifolds have umbilic boundary, but they are not conformally equivalent to the unit ball.
%U http://arxiv.org/abs/1011.4235v2