Conformal metrics with prescribed curvature functions on manifolds with boundary

被引：27
作者：
Guan, Bo [1 ]
机构：
[1] Ohio State Univ, Dept Math, Columbus, OH 43210 USA
来源：
AMERICAN JOURNAL OF MATHEMATICS | 2007年 / 129卷 / 04期
关键词：
D O I：
10.1353/ajm.2007.0025
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the Dirichlet problem for a class of fully nonlinear elliptic equations related to conformal deformations of metrics on Riemannian manifolds with boundary. As a consequence we prove the existence of a conformal metric, given its value on the boundary as a prescribed metric conformal to the (induced) background metric, with a prescribed curvature function of the Schouten tensor.
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页码：915 / 942
页数：28
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