|
|
| |
| A priori Estimates and Existence for a Class of Fully Nonlinear Elliptic Equations in Conformal Geometry |
| |
Citation： |
Xu-Jia WANG.A priori Estimates and Existence for a Class of Fully Nonlinear Elliptic Equations in Conformal Geometry[J].Chinese Annals of Mathematics B,2006,27(2):169~178 |
| Page view： 0
Net amount： 945 |
Authors： |
Xu-Jia WANG; |
Foundation： |
Project supported by the Australian Research Council. |
|
|
| Abstract： |
In this paper we prove the interior gradient and second derivative estimates for a
class of fully nonlinear elliptic equations determined by symmetric functions of eigenvalues
of the Ricci or Schouten tensors. As an application we prove the existence of solutions
to the equations when the manifold is locally conformally flat or the Ricci curvature is
positive. |
Keywords： |
Conformal geometry, Elliptic equation, Ricci curvature |
Classification： |
53A30, 58J05 |
|
|
Download PDF Full-Text
|
