Boundary Regularity for Solutions to the Linearized Monge-Ampere Equations

被引：18

作者：

Le, N. Q. ^{[1
]}

Savin, O. ^{[1
]}

机构：

[1] Columbia Univ, Dept Math, New York, NY 10027 USA

来源：

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS | 2013年 / 210卷 / 03期

基金：

美国国家科学基金会;

关键词：

SCALAR CURVATURE; TORIC SURFACES; METRICS;

D O I：

10.1007/s00205-013-0653-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We obtain boundary Holder gradient estimates and regularity for solutions to the linearized Monge-AmpSre equations under natural assumptions on the domain, Monge-AmpSre measures and boundary data. Our results are affine invariant analogues of the boundary Holder gradient estimates of Krylov.

引用

页码：813 / 836

页数：24

共 21 条

[11]

Donaldson SK, 2002, J DIFFER GEOM, V62, P289

[12] Interior gradient estimates for solutions to the linearized Monge-Ampere equation [J].