Local estimates for elliptic equations arising in conformal geometry

He, YanSheng, Weimin2015-12-131073-7928http://hdl.handle.net/1885/77439In this paper, we consider a Yamabe-type problem for higher-order curvatures on manifolds with totally geodesic boundaries. We prove local gradient and second-derivative estimates for solutions to the fully nonlinear elliptic equations associated with the problems.Local estimates for elliptic equations arising in conformal geometry201310.1093/imrn/rnr2622015-12-11