%0 Journal Article
%T A priori estimates for the obstacle problem of Hessian type equations on Riemannian manifolds
%A Tingting Wang
%A WeiSong Dong
%A Gejun Bao
%J Mathematics
%D 2014
%I arXiv
%X We are concerned with a priori estimates for the obstacle problem of a wide class of fully nonlinear equations on Riemannian manifolds. We use new techniques introduced by Bo Guan and derive new results for a priori second order estimates of its singular perturbation problem under fairly general conditions. By approximation, the existence of a C^{1,1} viscosity solution is proved.
%U http://arxiv.org/abs/1412.6874v2