THE PLATEAU PROBLEM FOR MARGINALLY OUTER TRAPPED SURFACES

被引：1
|
作者：
Eichmair, Michael [1 ]
机构：
[1] MIT, Dept Math, Cambridge, MA 02139 USA
来源：
JOURNAL OF DIFFERENTIAL GEOMETRY | 2009年 / 83卷 / 03期
关键词：
BOUNDARY-VALUE-PROBLEMS; ELLIPTIC DIFFERENTIAL-EQUATIONS; MEAN-CURVATURE GRAPHS; VARIATIONAL PROBLEMS; DIRICHLET PROBLEM; 1ST VARIATION; BLACK-HOLE; REGULARITY; PROOF; MASS;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We solve the Plateau problem for marginally outer trapped surfaces in general Cauchy data sets. We employ the Perron method and tools from geometric measure theory to force and control a blow-up of Jang's equation. Substantial new geometric insights regarding the lower order properties of marginally outer trapped surfaces are gained in the process. The techniques developed in this paper are flexible and can be adapted to other non-variational existence problems.
引用
收藏
页码：551 / 583
页数：33
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