Local estimates for elliptic equations arising in conformal geometry
Differential Geometry
2011-12-14 v3 Analysis of PDEs
Abstract
In this paper we consider 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.
Cite
@article{arxiv.1010.6115,
title = {Local estimates for elliptic equations arising in conformal geometry},
author = {Yan He and Weimin Sheng},
journal= {arXiv preprint arXiv:1010.6115},
year = {2011}
}
Comments
30 pages