%0 Journal Article %T A fully nonlinear version of the Yamabe problem on locally conformally flat manifolds with umbilic boundary %A YanYan Li %A Luc Nguyen %J Mathematics %D 2009 %I arXiv %X In this paper we establish existence and compactness of solutions to a general fully nonlinear version of the Yamabe problem on locally conformally flat Riemannian manifolds with umbilic boundary. %U http://arxiv.org/abs/0911.3366v1