Regularity of Solutions to the Dirichlet Problem for Monge-Ampere Equations

被引：1

作者：

Charabati, Mohamad ^{[1
]}

机构：

[1] Univ Paul Sabatier, Inst Math Toulouse, 118 Route Narbonne, F-31062 Toulouse 09, France

来源：

INDIANA UNIVERSITY MATHEMATICS JOURNAL | 2017年 / 66卷 / 06期

关键词：

Complex Monge-Ampere equation; Hausdorff-Riesz measure; strongly hyperconvex Lipschitz domain; plurisubharmonic function; HOLDER CONTINUOUS SOLUTIONS; CONTINUITY;

D O I：

10.1512/iumj.2017.66.6190

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study Holder continuity of solutions to the Dirichlet problem for measures having density in L-p, p > 1 with respect to Hausdorff-Riesz measures of order 2n - 2 + epsilon for 0 < epsilon <= 2, in a bounded strongly hyperconvex Lipschitz domain. We note that the boundary data belongs to C-0,C-alpha (partial derivative Omega), 0 < alpha <= 1.

引用

页码：2187 / 2204

页数：18

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