Regularity of the degenerate Monge-Ampere equation on compact Kahler manifolds

被引：18

作者：

Blocki, Z ^{[1
]}

机构：

[1] Jagiellonian Univ, Inst Math, PL-30059 Krakow, Poland

来源：

MATHEMATISCHE ZEITSCHRIFT | 2003年 / 244卷 / 01期

关键词：

Local Regularity; Nondegenerate Case; Lipschitz Regularity; Degenerate Complex;

D O I：

10.1007/s00209-002-0483-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the C-1,C-1 and Lipschitz regularity of the solutions of the degenerate complex Monge-Ampere equation on compact Kahler manifolds. In particular, in view of the local regularity for the complex Monge-Ampere equation, the obtained C-1,C-1 regularity is a generalization of the Yau theorem which deals with the nondegenerate case.

引用

页码：153 / 161

页数：9

共 9 条

[1]

[Anonymous], CONT MATH

[2] A NEW CAPACITY FOR PLURISUBHARMONIC-FUNCTIONS [J].