Boundary value problems for some fully nonlinear elliptic equations

被引：25

作者：

Chen, Szu-yu Sophie ^{[1
]}

机构：

[1] Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 USA

[2] Princeton Univ, Dept Math, Princeton, NJ 08544 USA

来源：

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2007年 / 30卷 / 01期

关键词：

D O I：

10.1007/s00526-006-0072-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a Yamabe-type problem on locally conformally flat compact manifolds with boundary. The main technique we used is to derive boundary C-2 estimates directly from boundary C-0 estimates. We will control the third derivatives on the boundary instead of constructing a barrier function. This result is a generalization of the work by Escobar.

引用

页码：1 / 15

页数：15

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